@mastersthesis{wassermann:88,
author = {Wassermann, Alfred},
title = {Schnelle {M}ultiplikationsverfahren},
year = {1988},
school = {Universit{\"a}t Bayreuth}
}
@article{wassermann90,
author = {Wassermann, Alfred},
title = {Konstruktion von {N}ormalbasen},
journal = {Bayreuth. Math. Schr.},
fjournal = {Bayreuther Mathematische Schriften},
volume = {31},
year = {1990},
pages = {155--164},
issn = {0172-1062}
}
@article{wassermann93,
author = {Wassermann, Alfred},
title = {Zur {A}rithmetik in endlichen {K}\"orpern},
note = {Dissertation, Universit\"at Bayreuth, Bayreuth, 1992},
journal = {Bayreuth. Math. Schr.},
fjournal = {Bayreuther Mathematische Schriften},
volume = {44},
year = {1993},
pages = {147--251},
issn = {0172-1062}
}
@article{wassermann:95,
author = {Wassermann, Alfred},
title = {The simple 7-(33,8,10)-Designs with Automorphism Group
{P$\Gamma$L(2,32)}},
journal = {S{\'e}minaire Lotharingien de Combinatoire (Research
announcement)},
fjournal = {S\'eminaire Lotharingien de Combinatoire},
pages = {13},
year = {1995},
volume = {B35z}
}
@article{bettenetal95a,
author = {Betten, Anton and Kerber, Adalbert and Laue, Reinhard and
Wassermann, Alfred},
title = {Es gibt $7$-{D}esigns mit kleinen {P}arametern!},
journal = {Bayreuth. Math. Schr.},
fjournal = {Bayreuther Mathematische Schriften},
volume = {49},
year = {1995},
pages = {213},
issn = {0172-1062}
}
@incollection{bettenetal95b,
author = {Betten, Anton and Kerber, Adalbert and Kohnert, Axel and
Laue, Reinhard and Wassermann, Alfred},
title = {The discovery of simple $7$-designs with automorphism
group ${P}{\Gamma}{L}(2,32)$},
booktitle = {Applied algebra, algebraic algorithms and error-correcting
codes (Paris, 1995)},
pages = {131--145},
series = {Lecture Notes in Comput. Sci.},
volume = {948},
publisher = {Springer},
address = {Berlin},
year = {1995}
}
@inproceedings{wassermann:95b,
author = {Wassermann, Alfred},
title = {Das {B}rachistochronenproblem mit {DERIVE}},
booktitle = {Beitrag zum Akademiebericht Dillingen},
year = {1995},
publisher = {Akademie-Verlag},
address = {Dillingen}
}
@incollection{bettenwassermann96,
author = {Betten, Anton and Wassermann, Alfred},
title = {$\{0,1\}$-Solutions of Integer Linear Equation Systems},
booktitle = {Parallel Virtual Machine -- EuroPVM'96 (Munich, 1996)},
pages = {311--314},
series = {Lecture Notes in Comput. Sci.},
volume = {1156},
publisher = {Springer},
address = {Berlin},
year = {1995}
}
@techreport{betten96parallelcomputation,
author = {Betten, Anton and Veigneau, S{\'e}bastien and Wassermann,
Alfred},
title = {Parallel Computation in Combinatorics using {PVM}},
institution = {Universit{\'e} Marne-la-Vall{\'e}e, France},
year = {1996}
}
@inproceedings{baptistneidhardtwassermann:96,
author = {Baptist, Peter and Neidhardt, Wolfgang and Wassermann,
Alfred},
title = {Symmetry and Regular Polygons},
editor = {Silva Kmeti\v{c}},
booktitle = {Prispevki k pou\v{c}evanju Matematike, The Improvement of
Mathematics Education in Secondary Schools: A Tempus
Project},
pages = {1--16},
year = {1996},
publisher = {Zalo\v{z}ba, Rotis},
address = {Maribor}
}
@incollection{bettenetal97a,
author = {Betten, Anton and Laue, Reinhard and Wassermann, Alfred},
title = {Some simple 7-designs},
booktitle = {Geometry, Combinatorial Designs and Related Structures,
Proceedings of the First Pythagorean Conference},
editor = {Hirschfeld, James W. P. and Magliveras, Spyros S. and de
Resmini, Marialuisa J.},
pages = {15--25},
series = {London Mathematical Society Lecture Notes},
volume = {245},
publisher = {Cambridge University Press},
address = {Cambridge},
year = {1997}
}
@article{bettenetal97b,
author = {Betten, Anton and Laue, Reinhard and Wassermann, Alfred},
title = {Simple 6 and 7-designs on 19 to 33 points},
journal = {Congressus Numerantium},
volume = {123},
year = {1997},
pages = {149--160}
}
@article{bettenetal98,
author = {Betten, Anton and Kerber, Adalbert and Laue, Reinhard and
Wassermann, Alfred},
title = {Simple 8-Designs with Small Parameters},
journal = {Designs, Codes and Cryptography},
volume = {15},
year = {1998},
pages = {5--27}
}
@book{bettencodes98,
author = {Betten, Anton and Fripertinger, Harald and Kerber,
Adalbert and Wassermann, Alfred and Zimmermann,
Karl-Heinz},
title = {Codierungstheorie -- {K}onstruktion und {A}nwendung
linearer {C}odes},
publisher = {Springer Verlag},
address = {Berlin, Heidelberg, New-York},
year = {1998},
pages = {xviii+338},
isbn = {3-540-64502-0}
}
@manual{discreta,
title = {{DISCRETA} -- a tool for constructing $t$-designs},
author = {Betten, Anton and Laue, Reinhard and Wassermann, Alfred},
organization = {Lehrstuhl II f\"ur Mathematik},
address = {Universit\"at Bayreuth},
note = {Freely available from
http://www.mathe2.uni-bayreuth.de/discreta/},
year = 1998
}
@article{wassermann98,
author = {Wassermann, Alfred},
title = {Finding simple $t$-designs with enumeration techniques},
journal = {Journal of Combinatorial Designs},
fjournal = {Journal of Combinatorial Designs},
volume = {6},
number = {2},
year = {1998},
pages = {79--90}
}
@article{bettenlauewassermann97,
author = {Betten, Anton and Laue, Reinhard and Wassermann, Alfred},
title = {Simple $8$-$(40,11,1440)$ Designs},
journal = {Discrete Applied Mathematics},
volume = {95},
year = {1999},
pages = {109--114}
}
@article{bettenetal99a,
author = {Betten, Anton and Laue, Reinhard and Wassermann, Alfred},
title = {Simple 7-Designs with small parameters.},
journal = {Journal of Combinatorial Designs},
volume = {7},
year = {1999},
pages = {79--94}
}
@article{bettenklinlaueea:99,
author = {Betten, Anton and Klin, Mikhail and Laue, Reinhard and
Wassermann, Alfred},
title = {Graphical $t$-Designs},
journal = {Discrete Math.},
pages = {111--121},
year = {1999},
volume = {197/198}
}
@article{bettenlauewassermann:99a,
author = {Betten, Anton and Laue, Reinhard and Wassermann, Alfred},
title = {New $t$-designs and large sets of $t$-designs},
journal = {Discrete Math.},
pages = {83--109},
year = {1999},
volume = {197/198},
note = {also appeared in the special volume Discrete Mathematics,
Editor's Choice, Edition 1999}
}
@article{bettenlauewassermann:99d,
author = {Betten, Anton and Laue, Reinhard and Wassermann, Alfred},
title = {A {S}teiner 5-Design on 36 Points},
journal = {Designs, Codes and Cryptography},
year = {1999},
pages = {181--186},
volume = {17}
}
@article{bettenlauemolodtsovea:00,
author = {Betten, Anton and Laue, Reinhard and Molodtsov, Sergey and
Wassermann, Alfred},
title = {{S}teiner Systems with Automorphism Groups {PSL}(2,71),
{PSL}(2,83), and {P$\Sigma$L}($2,3^5$)},
journal = {J. Geometry},
year = {2000},
pages = {35--41},
volume = {67}
}
@book{bettenkohnertlaueea:00,
editor = {Betten, Anton and Kohnert, Axel and Laue, Reinhard and
Wassermann, Alfred},
title = {Algebraic Combinatorics and Applications},
year = {2000},
publisher = {Springer-Verlag},
address = {Heidelberg}
}
@article{lmagliverasw,
author = {Laue, Reinhard and Magliveras, Spyros and Wassermann,
Alfred},
title = {New large sets of t-designs},
journal = {Journal of Comb. Designs},
volume = {9},
year = {2001},
pages = {40--59}
}
@article{wassermann:01,
author = {Wassermann, Alfred},
title = {Covering the {A}ztec Diamond with One-sided Tetrasticks},
journal = {Bulletin of the Institute of Combinatorics and its
Applications (ICA)},
pages = {70--76},
year = {2001},
volume = {32}
}
@techreport{wassermann:01a,
author = {Wassermann, Alfred},
title = {Covering the {A}ztec Diamond with One-sided Tetrasticks --
extended version},
note = {http://did.mat.uni-bayreuth.de/\~{}alfred/home/allsolutions.pdf},
institution = {University of Bayreuth, Germany},
year = {2001}
}
@unpublished{wassermann:01b,
author = {Wassermann, Alfred},
title = {Pentominoes in a $9 \times 10$ Rectangle},
note = {http://did.mat.uni-bayreuth.de/\~{}alfred/home/pentominoes.ps.gz},
year = {2001}
}
@article{ostergardwassermann:02,
author = {{\"O}sterg{\aa}rd, Patric R. J. and Wassermann, Alfred},
title = {A New Lower Bound for the Football Pool Problem for 6
Matches},
journal = {J. Comb. Theory, Series A},
pages = {175--179},
year = {2002},
volume = {99}
}
@article{wassermann:02,
author = {Wassermann, Alfred},
title = {Attacking the Market Split Problem with Lattice Point
Enumeration},
journal = {J. Combinatorial Optimization},
pages = {5--16},
year = {2002},
volume = {6}
}
@inproceedings{wassermann:02a,
author = {Wassermann, Alfred},
title = {Computing the minimum distance of linear codes},
booktitle = {Eighth International Workshop Algebraic and Combinatorial
Coding Theory (ACCT VIII), Tsarskoe Selo, Russia},
pages = {254--257},
year = {2002}
}
@inproceedings{vandijkegnergreferath:03,
author = {van Dijk, Marten and Egner, Sebastian and Greferath,
Marcus and Wassermann, Alfred},
title = {On binary linear $[160,80,24]$ codes},
booktitle = {Proceedings of the 2003 IEEE International Symposium on
Information Theory, Yokohama, Japan},
year = {2003}
}
@inproceedings{matheduc.02358224,
author = {Wassermann, Alfred},
title = {Dynamic mathematics software delivering multimedia support
in education.},
year = {2003},
booktitle = {Online Educa Berlin - 9th International Conference on
Technology Supported Learning and Training},
abstract = {The dynamical mathematics software GEONExT is a multimedia
software for learning and teaching mathematics at
university and school level. Since it can run in any
Java-capable web browser, GEONExT is a useful tool for
authoring and distributing e-learning content. For online
examples we refer to the following: - a learning
environment:
http://did.mat.uni-bayreuth.de/mmlu/thales-english
-JavaScript interface of GEONExT:
http://did.mat.uni-bayreuth.de/mmlu/mge -usage of GEONExT
in m\'ath-kit:
http://algebramcs.fernuni-hagen.de/Applets/math-kit/HA/Eigenwerte},
msc2010 = {N80xx (G40xx R20xx)},
identifier = {2004a.00785}
}
@inproceedings{dontchevawassermann:04,
author = {Dontcheva, Radinka and Wassermann, Alfred},
title = {New self-dual {[}120,60,20] and {[}96,48,16] codes},
booktitle = {Ninth International Workshop Algebraic and Combinatorial
Coding Theory (ACCT IX), Bulgaria},
year = {2004}
}
@inproceedings{gaboritnedeloaiawassermann:04,
author = {Gaborit, Philippe and Nedeloaia, Carmen-Simona and
Wassermann, Alfred},
title = {Weight enumerators of duadic and quadratic residue codes},
booktitle = {Proceedings of the IEEE International Symposium on
Information Theory 2004, Chicago, USA},
year = {2004}
}
@inproceedings{helmerbolik:04,
author = {Helmer, Gerhard and Garavaglia, Andrea and Knopp, Gunther
and Koch, Wolfgang and Bolik, J\"urgen and Wassermann,
Alfred},
title = {Capacity Optimization for Adaptive Multi Rate in UMTS
Systems},
booktitle = {Proceedings of the IEEE 60th Vehicular Technology
Conference, Los Angeles, CA, USA, 2004},
year = {2004},
volume = {7},
pages = {4991--4995},
doi = {10.1109/VETECF.2004.1400113}
}
@article{braunkohnertwassermann:05b,
author = {Braun, Michael and Kohnert, Axel and Wassermann, Alfred},
title = {Construction of $(n,r)$-Arcs in {PG}($2,q$)},
journal = {Innovations in Incidence Geometry},
year = {2005},
pages = {133--141},
volume = {1}
}
@article{braunkohnertwassermann:05c,
author = {Braun, Michael and Kohnert, Axel and Wassermann, Alfred},
title = {Construction of (sometimes) Optimal Linear Codes},
journal = {Bayreuther Mathematische Schriften},
year = {2005},
pages = {69--75},
volume = {74}
}
@article{mr2243155,
author = {Braun, Michael and Kohnert, Axel and Wassermann, Alfred},
title = {Optimal linear codes from matrix groups},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {51},
year = {2005},
number = {12},
pages = {4247--4251},
issn = {1557-9654},
coden = {IETTAW},
mrclass = {94B05 (11T71 94B25)},
mrnumber = {2243155 (2007e:94107)},
mrreviewer = {Xiang-dong Hou},
doi = {10.1109/TIT.2005.859291},
url = {http://dx.doi.org/10.1109/TIT.2005.859291}
}
@inproceedings{braunkohnertwassermann:05d,
author = {Braun, Michael and Kohnert, Axel and Wassermann, Alfred},
title = {Construction of linear codes with prescribed minimum
distance},
booktitle = {Optimal Codes and Related Topics, Pamporovo, Bulgaria},
year = {2005}
}
@article{vandijkegnergreferath:05,
author = {van Dijk, Marten and Egner, Sebastian and Greferath,
Marcus and Wassermann, Alfred},
title = {On two doubly even self-dual binary codes of length 160
and minimum weight 24},
journal = {IEEE Transactions on Information Theory},
pages = {408--410},
year = {2005},
volume = {51}
}
@article{gaboritnedeloaiawassermann:05,
author = {Gaborit, Philippe and Nedeloaia, Carmen-Simona and
Wassermann, Alfred},
title = {On the Weight Enumerators of Duadic and Quadratic Residue
Codes},
journal = {IEEE Transactions on Information Theory},
pages = {402--407},
year = {2005},
volume = {51},
note = {\emph{Erratum:} This paper contains three incorrect
numbers. Codewords of weight 24 in [152,76,20]: $717\,250$
instead of $717\,230$ codewords, codewords of weight 30 in
[138,69,22]: $6\,648\,307\,504$ instead of
$6\,648\,308\,245$, and codewords of weight 32 in
[138,69,22]: $77\,865\,259\,035$ instead of $77\,865\,259\,105$ }
}
@article{lauevogelwassermann:05,
author = {Laue, Reinhard and Vogel, Heiko and Wassermann, Alfred},
title = {Simple 8-(40,12,$\lambda$) Designs from {PSL}(4,3)},
journal = {Bayreuther Mathematische Schriften},
pages = {233--238},
year = {2005},
volume = {74}
}
@article{ostergardquistorffwassermann:05,
author = {{\"O}sterg{\aa}rd, Patric R. J. and Quistorff, J\"orn and
Wassermann, Alfred},
title = {New results on codes with covering radius 1 and minimum
distance 2},
journal = {Designs, Codes and Cryptography},
pages = {241--250},
year = {2005},
volume = {35}
}
@book{bettenbraunfripertingerkerberkohnertwassermann200608,
title = {Error-Correcting Linear Codes: Classification by Isometry
and Applications (Algorithms and Computation in
Mathematics)},
author = {Betten, Anton and Braun, Michael and Fripertinger, Harald
and Kerber, Adalbert and Kohnert, Axel and Wassermann,
Alfred},
publisher = {Springer Berlin Heidelberg},
year = {2006},
month = {8},
edition = {1.},
isbn = {9783540283713},
url = {http://amazon.de/o/ASIN/3540283714/},
price = {EUR 85,55},
totalpages = {828},
timestamp = {2011.09.30}
}
@article{mr2219953,
author = {Wassermann, Alfred},
title = {Lattice point enumeration and applications},
journal = {Bayreuth. Math. Schr.},
fjournal = {Bayreuther Mathematische Schriften},
volume = {73},
year = {2006},
pages = {iv+114},
issn = {0172-1062},
mrclass = {11H06 (11H71 11T71 11Y16 68P25 94A60)},
mrnumber = {2219953 (2006k:11125)},
mrreviewer = {Matthias Beck}
}
@article{kemmlerlaubermayhewwassermann06,
author = {Kemmler, Wolfgang and Lauber, Dirk and Mayhew, Jerry and
Wassermann, Alfred},
title = {Predicting Maximal Strength in Trained Postmenopausal
Woman},
journal = {Journal of Strength and Conditioning Research},
volume = {20},
year = {2006},
number = {4},
pages = {838--842}
}
@article{kohnertwassermann06,
author = {Kohnert, Axel and Wassermann, Alfred},
title = {Construction of self-orthogonal linear codes},
journal = {Electronic Notes in Discrete Mathematics},
volume = {27},
year = {2006},
pages = {105}
}
@book{froebawassermann200706,
title = {Die bedeutendsten Mathematiker (marixwissen)},
author = {Fr\"oba, Stephanie and Wassermann, Alfred},
publisher = {Marixverlag},
year = {2007},
month = {6},
edition = {1.},
isbn = {9783865399168},
url = {http://amazon.de/o/ASIN/3865399169/},
price = {EUR 5,00},
totalpages = {224},
timestamp = {2011.09.30}
}
@article{mr2311189,
author = {Laue, Reinhard and Omidi, G. R. and Tayfeh-Rezaie, B. and
Wassermann, Alfred},
title = {New large sets of {$t$}-designs with prescribed groups of
automorphisms},
journal = {J. Combin. Des.},
fjournal = {Journal of Combinatorial Designs},
volume = {15},
year = {2007},
number = {3},
pages = {210--220},
issn = {1063-8539},
mrclass = {05B05 (05E20)},
mrnumber = {2311189 (2008b:05021)},
mrreviewer = {Giovanni Ferrero},
doi = {10.1002/jcd.20128},
url = {http://dx.doi.org/10.1002/jcd.20128}
}
@article{kiermaierwassermann07,
author = {Kiermaier, Michael and Wassermann, Alfred},
title = {Computing the minimum {L}ee weight of the {$Z_4$}-linear
Quadratic Residue Codes of length 72 and 80 },
journal = {Oberwolfach Reports},
volume = {4},
year = {2007},
number = {4},
pages = {3216}
}
@article{mr2403446,
author = {Yorgova, Radinka and Wassermann, Alfred},
title = {Binary self-dual codes with automorphisms of order 23},
journal = {Des. Codes Cryptogr.},
fjournal = {Designs, Codes and Cryptography},
volume = {48},
year = {2008},
number = {2},
pages = {155--164},
issn = {0925-1022},
mrclass = {94B05},
mrnumber = {2403446 (2009e:94119)},
doi = {10.1007/s10623-007-9152-8},
url = {http://dx.doi.org/10.1007/s10623-007-9152-8}
}
@article{mr2378012,
author = {Laue, Reinhard and Wassermann, Alfred},
title = {Simple 8-(31,12,3080), 8-(40,12,16\,200) and
8-(40,12,16\,520) designs from {${\rm PSL}(3,5)$} and
{${\rm PSL}(4,3)$}},
journal = {Discrete Math.},
fjournal = {Discrete Mathematics},
volume = {308},
year = {2008},
number = {2-3},
pages = {166--174},
issn = {0012-365X},
coden = {DSMHA4},
mrclass = {05B05},
mrnumber = {2378012 (2008j:05057)},
mrreviewer = {T. S. Griggs},
doi = {10.1016/j.disc.2006.11.029},
url = {http://dx.doi.org/10.1016/j.disc.2006.11.029}
}
@inproceedings{kiermaierwassermann08a,
author = {Kiermaier, Michael and Wassermann, Alfred},
title = {On the minimum {L}ee distance of quadratic residue codes
over {$Z_4$} },
booktitle = {Proceedings of the 2008 IEEE International Symposium on
Information Theory, Toronto, Canada},
year = {2008}
}
@inproceedings{kiermaierwassermann08,
author = {Kiermaier, Michael and Wassermann, Alfred},
title = {Double and bordered alpha-circulant self-dual codes over
finite commutative chain rings },
booktitle = {Proceedings of Algebraic and Combinatorial Coding Theory,
Pamporovo, Bulgaria},
year = {2008}
}
@article{mr2522476,
author = {Kohnert, Axel and Wassermann, Alfred},
title = {Construction of binary and ternary self-orthogonal linear
codes},
journal = {Discrete Appl. Math.},
fjournal = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
volume = {157},
year = {2009},
number = {9},
pages = {2118--2123},
issn = {0166-218X},
coden = {DAMADU},
mrclass = {94B05 (05B20 20B25 51E22)},
mrnumber = {2522476 (2010g:94165)},
doi = {10.1016/j.dam.2007.10.030},
url = {http://dx.doi.org/10.1016/j.dam.2007.10.030}
}
@article{daumannwassermann09,
author = {Daumann, Frank and Wassermann, Alfred},
title = {Does trading votes in national elections change election
outcomes?},
journal = {Public Choice},
volume = {139},
year = {2009},
number = {3},
pages = {429--441}
}
@article{kemmler09,
author = {Kemmler, Wolfgang and K\"ockritz, Christina and Mayhew,
Jerry and von Stengel, Simon and Wassermann, Alfred and
Zapf, J\"urgen},
title = {Effect of compression stockings on running performance in
men runners},
journal = {Journal of Strength and Conditioning Research},
volume = {23},
year = {2009},
number = {1},
pages = {101--105}
}
@article{mr2648796,
author = {Harada, Masaaki and Kiermaier, Michael and Wassermann,
Alfred and Yorgova, Radinka},
title = {New binary singly even self-dual codes},
journal = {IEEE Trans. Inform. Theory},
fjournal = {Institute of Electrical and Electronics Engineers.
Transactions on Information Theory},
volume = {56},
year = {2010},
number = {4},
pages = {1612--1617},
issn = {0018-9448},
coden = {IETTAW},
mrclass = {94B60},
mrnumber = {2648796 (2010m:94181)},
doi = {10.1109/TIT.2010.2040967},
url = {http://dx.doi.org/10.1109/TIT.2010.2040967}
}
@article{mr2675267,
author = {Araya, Makoto and Harada, Masaaki and Tonchev, Vladimir D.
and Wassermann, Alfred},
title = {Mutually disjoint designs and new 5-designs derived from
groups and codes},
journal = {J. Combin. Des.},
fjournal = {Journal of Combinatorial Designs},
volume = {18},
year = {2010},
number = {4},
pages = {305--317},
issn = {1063-8539},
mrclass = {05B05 (94B60)},
mrnumber = {2675267 (2011g:05031)},
mrreviewer = {K. T. Phelps}
}
@article{gerhaeuservalentinwassermann10,
author = {Gerh\"auser, Michael and Valentin, Bianca and Wassermann,
Alfred},
title = {{JSXGraph} -- Dynamic Mathematics with JavaScript},
journal = {International Journal for Technology in Mathematics
Education},
volume = {17},
year = {2010},
number = {4},
pages = {211--215}
}
@incollection{wassermann:10,
author = {Wassermann, Alfred},
title = {The Challenge of a New Hardware Generation to Mathematics
Education},
editor = {Bianco, Tamara and Ulm, Volker},
booktitle = {Mathematics Education with Technology, Experiences in
Europe},
pages = {166--171},
year = {2010},
publisher = {Universit\"at Augsburg},
address = {Augsburg},
isbn = {978-3-00-032628-8}
}
@inproceedings{ekw10,
author = {Andreas Stefan Elsenhans and Axel Kohnert and Alfred
Wassermann},
title = {Construction of Codes for Network Coding},
booktitle = {Proceedings of the 19th International Symposium on
Mathematical Theory of Networks and Systems - MTNS10},
year = {2010},
abstract = {Based on ideas of K{\"o}tter and Kschischang we use
constant dimension subspaces as codewords in a network. We
show a connection to the theory of q-analogues of a
combinatorial designs, which has been studied in Braun,
Kerber and Laue as a purely combinatorial object. For the
construction of network codes we successfully modified
methods (construction with prescribed automorphisms)
originally developed for the q-analogues of a combinatorial
designs. We then give a special case of that method which
allows the construction of network codes with a very large
ambient space and we also show how to decode such codes
with a very small number of operations.},
pages = {1811--1814},
oai = {oai:arXiv.org:1005.2839},
subject = {Computer Science - Information Theory},
url = {http://arxiv.org/abs/1005.2839}
}
@article{mr2801581,
author = {Kerber, Adalbert and Kohnert, Axel and Laue, Reinhard and
Wassermann, Alfred},
title = {Editorial [{A} special issue: {ALCOMA} '10]},
note = {Held in Thurnau, April 11--18, 2010},
journal = {Adv. Math. Commun.},
fjournal = {Advances in Mathematics of Communications},
volume = {5},
year = {2011},
number = {2},
pages = {i--ii},
issn = {1930-5346},
mrclass = {05-06 (94-06)},
mrnumber = {2801581}
}
@article{kurzwassermann11,
author = {Kurz, Sascha and Wassermann, Alfred},
title = {On the minimum diameter of plane integral point sets},
journal = {Ars Combinatoria},
volume = {101},
year = {2011},
number = {July},
pages = {265--287}
}
@article{gerhaeuservalentinwassermannwilfahrt11,
author = {Gerh\"auser, Michael and Valentin, Bianca and Wassermann,
Alfred and Wilfahrt, Peter},
title = {{JSXGraph} -- Dynamic Mathematics Running on (nearly)
Every Device},
journal = {Electronic Journal of Mathematics and Technology},
volume = {5},
year = {2011},
number = {1}
}
@incollection{springerlink:10.1007/978-3-642-25070-5-4,
author = {Gerh\"{a}user, Michael and Wassermann, Alfred},
affiliation = {Department of Mathematics, University of Bayreuth, 95440
Bayreuth, Germany},
title = {Automatic Calculation of Plane Loci Using {G}r\"{o}bner
Bases and Integration into a Dynamic Geometry System},
booktitle = {Automated Deduction in Geometry},
series = {Lecture Notes in Computer Science},
editor = {Schreck, Pascal and Narboux, Julien and Richter-Gebert,
J{\"u}rgen},
publisher = {Springer Berlin/Heidelberg},
isbn = {978-3-642-25069-9},
keyword = {Computer Science},
pages = {68-77},
volume = {6877},
url = {http://dx.doi.org/10.1007/978-3-642-25070-5\_4},
note = {10.1007/978-3-642-25070-5\_4},
year = {2011}
}
@inproceedings{wassermann11,
author = {Wassermann, Alfred},
title = {{D}ynamische {M}athematik-{S}oftware f\"{u}r {W}eb und
eBook},
booktitle = {Proceedings 9. Workshop Mathematik f{\"u}r
ingenieurwissenschaftliche Studieng{\"a}nge, Wilhelmshaven,
September 2011},
pages = {34-38},
editor = {Schott, Dieter},
publisher = {Hochschule Wismar, Gottlob-Frege-Institut},
issn = {1862-1767},
year = {2011}
}
@article{qrcodes2012,
author = {Kiermaier, Michael and Wassermann, Alfred},
journal = {IEEE Transactions on Information Theory},
title = {Minimum Weights and Weight Enumerators of {$Z_{4}$}-Linear
Quadratic Residue Codes},
year = {2012},
month = {july},
volume = {58},
number = {7},
pages = {4870-4883},
keywords = {automorphism group;binary Gray imaging;classical
Brouwer-Zimmermann algorithm;extremal Z4-linear type II
code;linear binary XQR-code;minimum Euclidean
distance;minimum Lee distance;minimum Lee weight
computation;ring Z4-linear XQR-code;ring Z4-linear extended
quadratic residue code;symmetrized weight enumerator;Gray
codes;binary codes;linear codes;residue codes;},
doi = {10.1109/TIT.2012.2191389},
issn = {0018-9448}
}
@incollection{fibo2012,
year = {2012},
title = {Interactive Geometry for the web and mobile devices},
author = {Ehmann, Matthias and Gerh{\"a}user, Michael and Miller,
Carsten and Vogel, Heiko and Wassermann, Alfred},
booktitle = {Implementing Inquiry in Mathematics Education},
editor = {Baptist, Peter and Raab, Dagmar},
publisher = {Universit\"at Bayreuth},
isbn = {978-3-00-040752-9},
language = {English}
}
@article{2012arxiv1211.2758b,
author = {Braun, Michael and Wassermann, Alfred},
title = {{$q$-{S}teiner Systems Do Exist}},
journal = {ArXiv e-prints},
archiveprefix = {arXiv},
eprint = {1211.2758},
primaryclass = {math.CO},
keywords = {Mathematics - Combinatorics},
year = 2012,
month = nov,
adsurl = {http://adsabs.harvard.edu/abs/2012arXiv1211.2758B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{sdb2012,
year = {2013},
issn = {0925-1022},
journal = {Designs, Codes and Cryptography},
volume = {68},
number = {1-3},
doi = {10.1007/s10623-012-9740-0},
title = {Towards the classification of self-dual bent functions in
eight variables},
url = {http://dx.doi.org/10.1007/s10623-012-9740-0},
publisher = {Springer US},
keywords = {Boolean functions; Bent functions; Integer programming;
EA-equivalence; 06E30; 65T50; 94A60},
author = {Feulner, Thomas and Sok, Lin and Sol\'e, Patrick and
Wassermann, Alfred},
pages = {395-406},
language = {English}
}
@inproceedings{wcc2013,
author = {Braun, Michael and Etzion, Tuvi and {\"O}sterg{\aa}rd,
Patric R. J. and Vardy, Alexander and Wassermann, Alfred},
title = {{Construction of $q$-analogs of {S}teiner systems}},
booktitle = {WCC 2013, International Workshop on Coding and
Cryptography, Bergen, Norway},
year = {2013}
}
@article{2013arxiv1304.1462b,
author = {Braun, Michael and Etzion, Tuvi and {\"O}sterg{\aa}rd,
Patric R. J. and Vardy, Alexander and Wassermann, Alfred},
title = {{Existence of $q$-Analogs of {S}teiner Systems}},
journal = {ArXiv e-prints},
archiveprefix = {arXiv},
eprint = {1304.1462},
primaryclass = {math.CO},
keywords = {Mathematics - Combinatorics},
year = {2013},
adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1304.1462B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{2013arxiv1305.1455b,
author = {Braun, Michael and Kohnert, Axel and {\"O}sterg{\aa}rd,
Patric R. J. and Wassermann, Alfred},
title = {Large Sets of $t$-Designs over Finite Fields},
journal = {ArXiv e-prints},
archiveprefix = {"arXiv"},
eprint = {1305.1455},
primaryclass = {math.CO},
keywords = {Mathematics - Combinatorics},
year = {2013},
adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1305.1455B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{ioc2013,
author = {Daumann, Frank and Wassermann, Alfred and Wunderlich, Anne
C.},
title = {{Towards More Fairness: Forbid IOC Vote Trading}},
journal = {Applied Economics Quarterly},
publisher = {Duncker \& Humblot},
year = 2013,
volume = 59,
number = 4,
pages = {295-310}
}
@article{sketchometry14,
author = {Ehmann, Matthias and Gerh{\"a}user, Michael and Miller,
Carsten and Wassermann, Alfred},
title = {{S}ketchometry and {JSXG}raph -- Dynamic Geometry for
mobile devices},
journal = {South Bohemia Mathematical Letters},
volume = {21},
publisher = {University of South Bohemia, \v{C}esk\'{e} Bud\v{e}jovice},
issn = {2336-2081},
url = {http://home.pf.jcu.cz/~sbml/},
pages = {1-7},
year = {2013},
language = {English}
}
@article{bamberg2012,
title = {Unitals in the {D}esarguesian projective plane of order 16
},
journal = {Journal of Statistical Planning and Inference },
volume = {144},
number = {0},
pages = {110-122},
year = {2014},
note = {International Conference on Design of Experiments },
issn = {0378-3758},
doi = {http://dx.doi.org/10.1016/j.jspi.2012.10.006},
url = {http://www.sciencedirect.com/science/article/pii/S0378375812003217},
author = {John Bamberg and Anton Betten and Cheryl E. Praeger and
Alfred Wassermann},
keywords = {Buekenhout-Metz}
}
@article{qlargeset14,
author = {Braun, Michael and Kohnert, Axel and {\"O}sterg{\aa}rd,
Patric R. J. and Wassermann, Alfred},
title = {{Large Sets of $t$-Designs over Finite Fields}},
journal = {Journal of Combinatorial Theory A},
year = 2014,
volume = 124,
pages = {195-202}
}
@article{120_60_24,
author = {de la Cruz, Javier and Kiermaier, Michael and Wassermann,
Alfred},
title = {The automorphism group of an extremal [120, 60, 24] code
does not contain elements of order 29},
journal = {Designs, Codes and Cryptography},
year = {2016},
volume = {78},
number = {3},
pages = {693--702},
issn = {1573-7586},
doi = {10.1007/s10623-014-0025-7},
url = {http://dx.doi.org/10.1007/s10623-014-0025-7}
}
@incollection{molgen5_2012,
author = {Gugisch, Ralf and Kerber, Adalbert and Kohnert, Axel and
Laue, Reinhard and Meringer, Markus and R\"{u}cker,
Christoph and Wassermann, Alfred},
affiliation = {Department of Mathematics, University of Bayreuth, 95440
Bayreuth, Germany},
title = {{MOLGEN} 5.0, a Molecular Structure Generator},
booktitle = {Advances in Mathematical Chemistry and Applications},
volume = {1},
pages = {113-138},
editor = {Basak, Subhash C. and Restrepo, Guillermo and Villaveces,
Jos\'{e} L.},
publisher = {Bentham},
address = {Sharjah, UAE},
doi = {10.2174/97816080592871140101},
issn = {2352-7668},
isbn = {978-1-60805-929-4},
url = {http://ebooks.benthamscience.com/book/9781608059287/},
year = {2014}
}
@inproceedings{itextbooks,
author = {Drakuli\'{c}, Darko and Pesek, Igor and Wassermann, Alfred
and Zmazek, Bla\v{z}},
title = {{JSXG}raph in i-textbooks},
booktitle = {Slovenian i-textbooks},
editor = {Pesek, Igor and Zmazek, Bla\v{z} and Milek\v{s}i\v{c},
Vladimir},
publisher = {The National Education Institute Slovenia},
isbn = {978-961-03-0250-6},
url = {http://www.zrss.si/pdf/slovenian-i-textbooks.pdf},
year = {2014},
pages = {93-114},
language = {English}
}
@article{2015arxiv150303394k,
author = {{Kiermaier}, Michael and {Wassermann}, Alfred and
{Zwanzger}, Johannes},
title = {{New upper bounds on binary linear codes and a
{$Z_4$}-code with a better-than-linear Gray image}},
journal = {ArXiv e-prints},
archiveprefix = {arXiv},
eprint = {1503.03394},
volume = {abs/1503.03394},
primaryclass = {cs.IT},
keywords = {Computer Science - Information Theory, Mathematics -
Combinatorics},
year = 2015,
adsurl = {http://adsabs.harvard.edu/abs/2015arXiv150303394K},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{dblp:journals/corr/cruzkww15,
author = {Javier de la Cruz and Michael Kiermaier and Alfred
Wassermann and Wolfgang Willems},
title = {Algebraic structures of {MRD} Codes},
journal = {ArXiv e-prints},
volume = {abs/1502.02711},
year = {2015},
url = {http://arxiv.org/abs/1502.02711},
timestamp = {Mon, 02 Mar 2015 14:17:34 +0100},
biburl = {http://dblp.uni-trier.de/rec/bib/journals/corr/CruzKWW15},
bibsource = {dblp computer science bibliography, http://dblp.org}
}
@techreport{ubt_epub2670,
month = {Januar},
title = {Tables of subspace codes},
author = {Daniel Heinlein and Michael Kiermaier and Sascha Kurz and
Alfred Wassermann},
institution = {Universit{\"a}t Bayreuth},
address = {Bayreuth},
year = {2016},
keywords = {Galois geometry; subspace codes; partial spreads; constant
dimension codes},
url = {https://epub.uni-bayreuth.de/2670/},
note = {https://epub.uni-bayreuth.de/2670/}
}
@article{betten2016,
author = {Betten, Anton and Dempwolff, Ulrich and Wassermann,
Alfred},
title = {On dual hyperovals of rank 4 over {${\mathbb F}_2$}},
journal = {Journal of Geometry},
year = {2016},
pages = {1--24},
issn = {1420-8997},
doi = {10.1007/s00022-016-0326-2},
url = {http://dx.doi.org/10.1007/s00022-016-0326-2}
}
@article{kerber2016i,
title = {Editorial},
author = {Adalbert Kerber and Michael Kiermaier and Reinhard Laue
and Mario O. Pav{\v c}evi{\'c} and Alfred Wassermann},
journal = {Advances in Mathematics of Communications},
volume = {10},
number = {3},
pages = {i--ii},
year = {2016},
issn = {1930-5346},
doi = {10.3934/amc.201603i},
url = {http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=12792},
keywords = {}
}
@article{cruz2016499,
title = {Algebraic structures of {MRD} codes},
author = {Javier de la Cruz and Michael Kiermaier and Alfred
Wassermann and Wolfgang Willems},
journal = {Advances in Mathematics of Communications},
volume = {10},
number = {3},
pages = {499--510},
year = {2016},
note = {},
issn = {1930-5346},
doi = {10.3934/amc.2016021},
url = {http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=12779},
keywords = {semifields}
}
@article{fmp:10491987,
author = {Braun, Michael and Etzion, Tuvi and {\"O}sterg{\aa}rd,
Patric R. J. and Vardy, Alexander and Wassermann, Alfred},
title = {Existence of $q$-analogs of {S}teiner systems},
journal = {Forum of Mathematics, Pi},
volume = {4},
year = {2016},
issn = {2050-5086},
pages = {e7 (14 pages)},
doi = {10.1017/fmp.2016.5},
url = {http://journals.cambridge.org/article\_S2050508616000056}
}
@article{bettenwassermann2016,
author = {Betten, Anton and Wassermann, Alfred},
title = {Spreads of {PG}(3,8) and {PG}(3,9) containing a regulus},
volume = 276,
pages = {289--300},
journal = {Congressus Numerantium},
year = {2016}
}
@article{doi:10.1080/10586458.2016.1239145,
author = {Michael Braun and Patric R. J. {\"O}sterg{\aa}rd and
Alfred Wassermann},
title = {New Lower Bounds for Binary Constant-Dimension Subspace
Codes},
journal = {Experimental Mathematics},
volume = {0},
number = {0},
pages = {1--5},
year = {2016},
doi = {10.1080/10586458.2016.1239145},
url = {http://dx.doi.org/10.1080/10586458.2016.1239145},
eprint = {http://dx.doi.org/10.1080/10586458.2016.1239145}
}
@article{7574267,
author = {Michael Kiermaier and Alfred Wassermann and Johannes
Zwanzger},
journal = {IEEE Transactions on Information Theory},
title = {New Upper Bounds on Binary Linear Codes and a {${\mathbb
Z}_{4}$}-Code With a Better-Than-Linear Gray Image},
year = {2016},
volume = {62},
number = {12},
pages = {6768--6771},
keywords = {Integer linear programming;Linear codes;Linear
programming;Table lookup;Two dimensional displays;Upper
bound;Zinc;Kerdock codes;Linear codes;integer linear
programming;ring-linear codes},
doi = {10.1109/TIT.2016.2612654},
issn = {0018-9448},
month = {Dec}
}
@article{2017arxiv170308291h,
author = {Heinlein, Daniel and Honold, Thomas and Kiermaier, Michael
and Kurz, Sascha and Wassermann, Alfred},
title = {Projective divisible binary codes},
journal = {ArXiv e-prints},
archiveprefix = {arXiv},
eprint = {1703.08291},
primaryclass = {math.CO},
keywords = {Mathematics - Combinatorics, 94B05, 51E23},
year = 2017,
month = mar
}
@techreport{braunwassermann:2017,
title = {Disjoint $q$-{S}teiner systems in dimension 13},
author = {Michael Braun and Alfred Wassermann},
institution = {Universit{\"a}t Bayreuth},
year = {2017},
month = {April},
doi = {urn:nbn:de:bvb:703-epub-3291-7},
url = {https://epub.uni-bayreuth.de/id/eprint/3291}
}
@article{2017arxiv170806224h,
author = {Heinlein, Daniel and Kiermaier, Michael and Kurz, Sascha
and Wassermann, Alfred},
title = {{A subspace code of size $333$ in the setting of a binary
$q$-analog of the {F}ano plane}},
journal = {ArXiv e-prints},
archiveprefix = {arXiv},
eprint = {1708.06224},
primaryclass = {math.CO},
keywords = {Mathematics - Combinatorics, Computer Science -
Information Theory, 51E20, 05B07, 11T71, 94B25},
year = 2017,
month = aug
}
@techreport{daskalovwassermann_q13:2017,
month = {September},
title = {The best known (n,r)-arcs in {PG}(2,13)},
author = {Rumen Daskalov and Alfred Wassermann},
institution = {Universit{\"a}t Bayreuth},
year = {2017},
keywords = {Arcs, Blocking sets},
url = {https://epub.uni-bayreuth.de/3394/},
doi = {urn:nbn:de:bvb:703-epub-3394-9}
}
@techreport{daskalovwassermann_q17:2017,
month = {September},
title = {The best known (n,r)-arcs in {PG}(2,17)},
author = {Rumen Daskalov and Alfred Wassermann},
institution = {Universit{\"a}t Bayreuth},
year = {2017},
keywords = {Arcs, Blocking sets},
url = {https://epub.uni-bayreuth.de/3396/},
doi = {urn:nbn:de:bvb:703-epub-3396-0}
}
@techreport{daskalovwassermann_q19:2017,
month = {September},
title = {The best known (n,r)-arcs in {PG}(2,19)},
author = {Rumen Daskalov and Alfred Wassermann},
institution = {Universit{\"a}t Bayreuth},
year = {2017},
keywords = {Arcs, Blocking sets},
url = {https://epub.uni-bayreuth.de/3397/},
doi = {urn:nbn:de:bvb:703-epub-3397-6}
}
@inproceedings{10.1007/978-3-319-72453-9_24,
author = {Jungnickel, Dieter and Magliveras, Spyros S. and Tonchev,
Vladimir D. and Wassermann, Alfred},
editor = {Bl{\"o}mer, Johannes and Kotsireas, Ilias S. and Kutsia,
Temur and Simos, Dimitris E.},
title = {On Classifying {S}teiner Triple Systems by Their 3-Rank},
booktitle = {Mathematical Aspects of Computer and Information Sciences},
year = {2017},
publisher = {Springer International Publishing},
address = {Cham},
pages = {295--305},
isbn = {978-3-319-72453-9}
}
@article{2017arxiv171106624h,
author = {{Heinlein}, D. and {Honold}, T. and {Kiermaier}, M. and
{Kurz}, S. and {Wassermann}, A.},
title = {{Classifying optimal binary subspace codes of length 8,
constant dimension 4 and minimum distance 6}},
journal = {ArXiv e-prints},
archiveprefix = {arXiv},
eprint = {1711.06624},
primaryclass = {math.CO},
keywords = {Mathematics - Combinatorics, 51E20, 11T71, 94B25},
year = 2017,
month = nov,
adsurl = {http://adsabs.harvard.edu/abs/2017arXiv171106624H},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{braun201823,
title = {Disjoint {$q$}-{S}teiner systems in dimension 13},
journal = {Electronic Notes in Discrete Mathematics },
volume = {65},
number = {},
pages = {23--29},
year = {2018},
note = {7th International Conference on Algebraic Informatics (CAI
2017): Design Theory Track},
issn = {1571-0653},
doi = {https://doi.org/10.1016/j.endm.2018.02.016},
url = {https://www.sciencedirect.com/science/article/pii/S157106531830043X},
author = {Michael Braun and Alfred Wassermann},
keywords = {{S}teiner system }
}
@article{fanoautomorphisms,
author = {Kiermaier, Michael and Kurz, Sascha and Wassermann,
Alfred},
title = {The order of the automorphism group of a binary $q$-analog
of the {F}ano plane is at most two},
journal = {Designs, Codes and Cryptography},
year = {2018},
month = {Feb},
day = {01},
volume = {86},
number = {2},
pages = {239--250},
issn = {1573-7586},
doi = {10.1007/s10623-017-0360-6},
url = {https://doi.org/10.1007/s10623-017-0360-6}
}
@article{kiermaierlauewassermann2016,
author = {Kiermaier, Michael and Laue, Reinhard and Wassermann,
Alfred},
title = {A new series of large sets of subspace designs over the
binary field},
journal = {Designs, Codes and Cryptography},
year = {2018},
month = {Feb},
day = {01},
volume = {86},
number = {2},
pages = {251--268},
issn = {1573-7586},
doi = {10.1007/s10623-017-0349-1},
url = {https://doi.org/10.1007/s10623-017-0349-1}
}
@incollection{qdesigns2017,
author = {Braun, Michael and Kiermaier, Michael and Wassermann,
Alfred},
title = {$q$-analogs of Designs: Subspace Designs},
year = {2018},
booktitle = {Network Coding and Subspace Designs},
editors = {Marcus Greferath and Mario Osvin Pav{\v{c}}evi{\'{c}} and
Natalia Silberstein Mar{\'{i}}a {\'{A}}ngeles
V{\'{a}}quez-Castro},
pages = {171--211},
series = {Signals and Communication Technology},
publisher = {Springer},
address = {Cham},
isbn = {978-3-319-70293-3},
doi = {10.1007/978-3-319-70293-3\_8},
url = {https://doi.org/10.1007/978-3-319-70293-3\_8}
}
@incollection{qdesignscomputer2017,
author = {Braun, Michael and Kiermaier, Michael and Wassermann,
Alfred},
title = {Computational Methods in Subspace Designs},
year = {2018},
booktitle = {Network Coding and Subspace Designs},
editors = {Marcus Greferath and Mario Osvin Pav{\v{c}}evi{\'{c}} and
Natalia Silberstein Mar{\'{i}}a {\'{A}}ngeles
V{\'{a}}quez-Castro},
series = {Signals and Communication Technology},
publisher = {Springer},
address = {Cham},
pages = {213--244},
isbn = {978-3-319-70293-3},
doi = {10.1007/978-3-319-70293-3\_9},
url = {https://doi.org/10.1007/978-3-319-70293-3\_9}
}
@article{doi:10.1139/apnm-2017-0602,
author = {Marc Teschler and Alfred Wassermann and Anja Weissenfels
and Michael Fr\"ohlich and Matthias Kohl and Michael
Bebenek and Simon von Stengel and Wolfgang Kemmler},
title = {Short time effect of a single session of intense
whole-body electromyostimulation on energy expenditure. {A}
contribution to fat reduction?},
journal = {Applied Physiology, Nutrition, and Metabolism},
volume = {43},
number = {5},
pages = {528-530},
year = {2018},
doi = {10.1139/apnm-2017-0602},
note = {PMID: 29253351},
url = {https://doi.org/10.1139/apnm-2017-0602},
eprint = {https://doi.org/10.1139/apnm-2017-0602}
}
@article{bw18,
author = {Buratti, Marco and Wassermann, Alfred},
title = {On decomposability of cyclic triple systems},
journal = {Australasian Journal of Combinatorics},
year = {2018},
volume = {71},
number = {2},
pages = {184--195}
}
@article{2018arxiv180411172b,
author = {{Buratti}, M. and {Kiermaier}, M. and {Kurz}, S. and
{Naki{\'c}}, A. and {Wassermann}, A.},
title = {{$q$-analogs of group divisible designs}},
journal = {ArXiv e-prints},
archiveprefix = {arXiv},
eprint = {1804.11172},
primaryclass = {math.CO},
keywords = {Mathematics - Combinatorics, 51E05, 05B40, 51E30},
year = 2018,
month = apr,
adsurl = {http://adsabs.harvard.edu/abs/2018arXiv180411172B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{jungnickel2019,
author = {Jungnickel, Dieter and Magliveras, Spyros S. and Tonchev,
Vladimir D. and Wassermann, Alfred},
title = {The classification of {S}teiner triple systems on 27
points with 3-rank 24},
journal = {Designs, Codes and Cryptography},
year = {2019},
month = {Apr},
day = {01},
volume = {87},
number = {4},
pages = {831--839},
abstract = {We show that there are exactly 2624 isomorphism classes of
Steiner triple systems on 27 points having 3-rank 24, all
of which are actually resolvable. More generally, all
Steiner triple systems on {\$}{\$}3^n{\$}{\$}3npoints
having 3-rank at most {\$}{\$}3^n-n{\$}{\$}3n-nare
resolvable. Combining this observation with the lower bound
on the number of such {\$}{\$}{\{}{\backslash}mathrm
{\{}STS{\}}{\}}(3^n){\$}{\$}STS(3n)recently established by
two of the present authors, we obtain a strong lower bound
on the number of Kirkman triple systems on
{\$}{\$}3^n{\$}{\$}3npoints. For instance, there are more
than {\$}{\$}10^{\{}99{\}}{\$}{\$}1099isomorphism classes
of {\$}{\$}{\{}{\backslash}mathrm
{\{}KTS{\}}{\}}(81){\$}{\$}KTS(81).},
issn = {1573-7586},
doi = {10.1007/s10623-018-0502-5},
url = {https://doi.org/10.1007/s10623-018-0502-5}
}
@article{heinlein2018classifying,
author = {Heinlein, Daniel and Honold, Thomas and Kiermaier, Michael
and Kurz, Sascha and Wassermann, Alfred},
year = {2018},
title = {Classifying optimal binary subspace codes of length 8,
constant dimension 4 and minimum distance 6},
journal = {Designs, Codes and Cryptography},
issn = {0925-1022},
doi = {10.1007/s10623-018-0544-8},
month = {9},
pages = {1--17},
url = {http:https://doi.org/10.1007/s10623-018-0544-8}
}
@misc{ubt_epub4075,
title = {The lengths of projective triply-even binary codes},
year = {2018},
author = {Thomas Honold and Michael Kiermaier and Sascha Kurz and
Alfred Wassermann},
month = {Dezember},
address = {Bayreuth},
url = {https://epub.uni-bayreuth.de/4075/},
keywords = {divisible codes; projective codes; partial spreads}
}
@article{2018arxiv181205957h,
author = {{Honold}, Thomas and {Kiermaier}, Michael and {Kurz},
Sascha and {Wassermann}, Alfred},
title = {{The lengths of projective triply-even binary codes}},
journal = {arXiv e-prints},
keywords = {Mathematics - Combinatorics, Computer Science -
Information Theory},
year = 2018,
month = dec,
eid = {arXiv:1812.05957},
pages = {arXiv:1812.05957},
archiveprefix = {arXiv},
eprint = {1812.05957},
primaryclass = {math.CO},
adsurl = {https://ui.adsabs.harvard.edu/\#abs/2018arXiv181205957H},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@incollection{qgdd:2018,
author = {Marco Buratti and Michael Kiermaier and Sascha Kurz and
Anamari Naki{\'{c}} and Alfred Wassermann},
title = {$q$-analogs of group divisible designs},
booktitle = {Pseudorandomness and Finite Fields},
editors = {Arne Winterhof and Kai-Uwe Schmidt},
series = {Radon Series on Computational and Applied Mathematics},
volume = {23},
issn = {978-3-11-064209-4},
publisher = {DeGruyter},
year = {2019}
}
@misc{ubt_eref46951,
month = {Januar},
address = {Bayreuth},
title = {A subspace code of size 333 in the setting of a binary
{$q$}-analog of the {F}ano plane},
year = {2019},
author = {Daniel Heinlein and Michael Kiermaier and Sascha Kurz and
Alfred Wassermann},
keywords = {Finite groups; finite projective spaces; constant
dimension codes; subspace codes; subspace distance;
combinatorics; computer search},
url = {https://eref.uni-bayreuth.de/46951/}
}
@article{ubt_eref48693,
month = {August},
pages = {457--475},
journal = {Advances in Mathematics of Communications},
title = {A subspace code of size 333 in the setting of a binary
{$q$}-analog of the {F}ano plane},
year = {2019},
volume = {13},
author = {Daniel Heinlein and Michael Kiermaier and Sascha Kurz and
Alfred Wassermann},
number = {3},
url = {https://eref.uni-bayreuth.de/48693/},
keywords = {Finite groups; finite projective spaces; constant
dimension codes; subspace codes; subspace distance;
combinatorics; computer search}
}
@article{2019arxiv190703344w,
author = {{Wassermann}, Alfred},
title = {{One-step Majority-logic Decoding with Subspace Designs}},
journal = {arXiv e-prints},
keywords = {Mathematics - Combinatorics, Computer Science -
Information Theory, 11T71, 68P30, E.4},
year = {2019},
month = {Jul},
eid = {arXiv:1907.03344},
pages = {arXiv:1907.03344},
archiveprefix = {arXiv},
eprint = {1907.03344},
primaryclass = {math.CO},
adsurl = {https://ui.adsabs.harvard.edu/abs/2019arXiv190703344W},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{2019arxiv190703194b,
author = {{Buratti}, Marco and {Nakic}, Anamari and {Wassermann},
Alfred},
title = {{Graph decompositions in projective geometries}},
journal = {arXiv e-prints},
keywords = {Mathematics - Combinatorics, 05B05, 05B10, 05B25, 05B30},
year = {2019},
month = {Jul},
eid = {arXiv:1907.03194},
pages = {arXiv:1907.03194},
archiveprefix = {arXiv},
eprint = {1907.03194},
primaryclass = {math.CO},
adsurl = {https://ui.adsabs.harvard.edu/abs/2019arXiv190703194B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{8836085,
author = {Thomas {Honold} and Michael {Kiermaier} and Sascha {Kurz}
and Alfred {Wassermann}},
journal = {IEEE Transactions on Information Theory},
title = {The Lengths of Projective Triply-Even Binary Codes},
year = {2020},
volume = {66},
number = {5},
pages = {2713-i-2716}
}
@article{9187902,
author = {Romar dela {Cruz} and Alfred {Wassermann}},
journal = {IEEE Transactions on Information Theory},
title = {Majority Logic Decoding With Subspace Designs},
year = {2021},
volume = {67},
number = {1},
pages = {179-186},
doi = {10.1109/TIT.2020.3022683}
}
@article{https://doi.org/10.1002/jcd.21761,
author = {Buratti, Marco and Nakić, Anamari and Wassermann,
Alfred},
title = {Graph decompositions in projective geometries},
journal = {Journal of Combinatorial Designs},
volume = {29},
number = {3},
pages = {141-174},
keywords = {design over a finite field, difference family, difference
set, graph decomposition, group divisible design over a
finite field, projective space, spread},
doi = {https://doi.org/10.1002/jcd.21761},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/jcd.21761},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/jcd.21761},
abstract = {Abstract Let PG(Fqv) be the (v−1)-dimensional projective
space over Fq and let Γ be a simple graph of order
qk−1q−1 for some k. A 2−(v,Γ,λ) design over Fq is a
collection ℬ of graphs (blocks) isomorphic to Γ with the
following properties: the vertex set of every block is a
subspace of PG(Fqv); every two distinct points of PG(Fqv)
are adjacent in exactly λ blocks. This new definition
covers, in particular, the well-known concept of a
2−(v,k,λ) design over Fq corresponding to the case that
Γ is complete. In this study of a foundational nature we
illustrate how difference methods allow us to get concrete
nontrivial examples of Γ-decompositions over F2 or F3 for
which Γ is a cycle, a path, a prism, a generalized
Petersen graph, or a Moebius ladder. In particular, we will
discuss in detail the special and very hard case that Γ is
complete and λ=1, that is, the Steiner 2-designs over a
finite field. Also, we briefly touch the new topic of near
resolvable 2−(v,2,1) designs over Fq. This study has led
us to some (probably new) collateral problems concerning
difference sets. Supported by multiple examples, we
conjecture the existence of infinite families of
Γ-decompositions over a finite field that can be obtained
by suitably labeling the vertices of Γ with the elements
of a Singer difference set.},
year = {2021}
}
@article{doi:10.1021/acs.jchemed.0c01023,
author = {Rücker, Christoph and Meringer, Markus and Wassermann,
Alfred},
title = {Comment on ``Nomenclature, Chemical Abstracts Service
Numbers, Isomer Enumeration, Ring Strain, and
Stereochemistry: What Does Any of This Have to Do with an
International Chemical Disarmament and Nonproliferation
Treaty?''},
journal = {Journal of Chemical Education},
volume = {0},
number = {0},
pages = {null},
year = {2021},
doi = {10.1021/acs.jchemed.0c01023},
url = {https://doi.org/10.1021/acs.jchemed.0c01023},
eprint = {https://doi.org/10.1021/acs.jchemed.0c01023}
}
@incollection{huffman2021concise,
author = {Wassermann, Alfred},
title = {Algorithmic Methods},
year = {2021},
booktitle = {Concise Encyclopedia of Coding Theory},
editors = {Huffman, William Cary and Kim, Jon-Lark and Sol\'e,
Patrick},
pages = {575--598},
publisher = {Chapman \& Hall, CRC Press},
isbn = {9781315147901},
doi = {10.1201/9781315147901},
url = {https://doi.org/10.1201/9781315147901}
}
@inproceedings{10.1007/978-3-030-79987-8_2,
author = {Wassermann, Alfred},
editor = {Flocchini, Paola and Moura, Lucia},
title = {Search for Combinatorial Objects Using Lattice Algorithms
-- Revisited},
booktitle = {Combinatorial Algorithms},
year = {2021},
publisher = {Springer International Publishing},
address = {Cham},
pages = {20--33},
isbn = {978-3-030-79987-8}
}
@article{tonchevwassermann:2022,
author = {Tonchev, Vladimir and Wassermann, Alfred},
title = {On the classification of unitals on 28 points of low
rank},
journal = {Applicable Algebra in Engineering, Communication and
Computing},
doi = {10.1007/s00200-022-00541-y},
year = {2022}
}
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