Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Stefaan De Winter"'
Autor:
Klaus Metsch, Stefaan De Winter
Publikováno v:
The Electronic Journal of Combinatorics. 27
We construct an infinite family of intriguing sets, or equivalently perfect 2-colorings, that are not tight in the Grassmann graph of planes of PG$(n,q)$, $n\ge 5$ odd, and show that the members of the family are the smallest possible examples if $n\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd522ceeebc1c10f7d2acf331bf2f1e7
https://doi.org/10.37236/8672
https://doi.org/10.37236/8672
Autor:
Stefaan De Winter, Zeying Wang
Publikováno v:
Designs, Codes and Cryptography. 87:757-768
In this paper we prove non-existence of nontrivial partial difference sets in Abelian groups of order $$8p^3$$ , where $$p\ge 3$$ is a prime number. These groups seemed to have the potential of admitting at least two infinite families of PDSs, and ev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0241ef655b82a8099d8a0bdef7f2f75
https://doi.org/10.1007/s10623-018-0508-z
https://doi.org/10.1007/s10623-018-0508-z
Publikováno v:
Discrete Mathematics. 340:2130-2133
In this note we prove the non-existence of two types of partial difference sets in Abelian groups of order 216 . This completes the classification of parameters for which a partial difference set of size at most 100 exists in an Abelian group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb32573c5fca7750e3b1df0706fd65e6
https://doi.org/10.1016/j.disc.2017.03.021
https://doi.org/10.1016/j.disc.2017.03.021
Autor:
Stefaan De Winter, Dieter Jungnickel
Recently, Jungnickel and Tonchev (Des Codes Cryptogr, doi:10.1007/s10623-012-9636-z, 2012) introduced new invariants for simple incidence structures \({\mathcal{D}}\), which admit both a coding theoretic and a geometric description. Geometrically, on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f36ab5aa72ea98ff76d5583304cfc241
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/64770
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/64770
We present an example of a result in graph theory that is used to obtain a result in another branch of mathematics. More precisely, we show that the isomorphism of certain directed graphs implies that some trinomials over finite fields have the same
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d19839488e06ce26c4e1ffa340031d18
http://arxiv.org/abs/1904.09657
http://arxiv.org/abs/1904.09657
Autor:
Zeying Wang, Stefaan De Winter
Publikováno v:
Designs, Codes and Cryptography. 84:451-461
In this article we provide a complete classification of regular partial difference sets in Abelian groups of order \(4p^2\), p an odd prime. It turns out that the known examples are the only examples. These are, up to complements, the trivial example
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c0598a873c6c01869fbe26ff61d2118e
https://doi.org/10.1007/s10623-016-0280-x
https://doi.org/10.1007/s10623-016-0280-x
Autor:
Jeroen Schillewaert, Stefaan De Winter
Publikováno v:
Journal of Combinatorial Theory, Series A. 173:105211
We characterize non-singular polar spaces embedded in non-singular polar spaces of the same rank using subsets of generators satisfying a natural intersection condition. By [7] and [8] this result has applications to the theory of Cameron-Liebler set
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06bb1c80a7b5745eb89c0d4bce0dc32a
https://doi.org/10.1016/j.jcta.2020.105211
https://doi.org/10.1016/j.jcta.2020.105211
Publikováno v:
Designs, Codes and Cryptography. 79:471-485
In this article we generalize a theorem of Benson (J Algebra 15:443---454, 1970) for generalized quadrangles to strongly regular graphs, deriving numerical restrictions on the number of fixed vertices and the number of vertices mapped to adjacent ver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9dca0a642c8447ebdbdb68ec01459a2
https://doi.org/10.1007/s10623-015-0109-z
https://doi.org/10.1007/s10623-015-0109-z
Autor:
Ryan Bruner, Stefaan De Winter
Publikováno v:
Journal of Algebra Combinatorics Discrete Structures and Applications, Vol 3, Iss 3 (2016)
Consider any permutation of the elements of a (finite) metric space that preserves a specific distancep. When is such a permutation automatically an isometry of the metric space? In this note we studythis problem for the Hamming spaces H(n,q) both fr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff2a3e71a8359fd62da3bdcf62023e01
https://doi.org/10.13069/jacodesmath.67265
https://doi.org/10.13069/jacodesmath.67265
Autor:
Koen Thas, Stefaan De Winter
Publikováno v:
Designs, Codes and Cryptography. 47:237-242
All known finite generalized quadrangles that admit an automorphism group acting sharply transitively on their point set arise by Payne derivation from thick elation generalized quadrangles of order s with a regular point. In these examples only two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7329cb848ffeff6a3302eabefb90ecfe
https://doi.org/10.1007/s10623-007-9146-6
https://doi.org/10.1007/s10623-007-9146-6