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pro vyhledávání: '"Kaspers, Christian"'
Autor:
Kaspers, Christian, Zhou, Yue
Almost perfect nonlinear (APN) functions play an important role in the design of block ciphers as they offer the strongest resistance against differential cryptanalysis. Despite more than 25 years of research, only a limited number of APN functions a
Externí odkaz:
http://arxiv.org/abs/2004.11896
Autor:
Kaspers, Christian, Zhou, Yue
In this paper, we establish a lower bound on the total number of inequivalent APN functions on the finite field with $2^{2m}$ elements, where $m$ is even. We obtain this result by proving that the APN functions introduced by Pott and the second autho
Externí odkaz:
http://arxiv.org/abs/2002.00673
Autor:
Kaspers, Christian, Pott, Alexander
In this paper, we give a partial solution to a new isomorphism problem about $2$-$(v,k,k-1)$ designs from disjoint difference families in finite fields and Galois rings. Our results are obtained by carefully calculating and bounding some block inters
Externí odkaz:
http://arxiv.org/abs/1907.05848
Autor:
Kaspers, Christian, Pott, Alexander
Publikováno v:
J Combin Des. 2019; 27: 277-294
Recently, two new constructions of $(v,k,k-1)$ disjoint difference families in Galois rings were presented by Davis, Huczynska, and Mullen and Momihara. Both were motivated by a well-known construction of difference families from cyclotomy in finite
Externí odkaz:
http://arxiv.org/abs/1807.02055
Autor:
Kaspers, Christian, Zhou, Yue
Publikováno v:
In Journal of Combinatorial Theory, Series A February 2022 186
Autor:
Kaspers, Christian1 christian.kaspers@ovgu.de, Pott, Alexander1
Publikováno v:
Journal of Combinatorial Designs. May2019, Vol. 27 Issue 5, p277-294. 18p.
Autor:
Kaspers, Christian
In der vorliegenden Arbeit untersuchen wir Äquivalenzprobleme zweier Objekte aus der diskreten Mathematik: disjunkte Differenzfamilien und fast perfekt-nichtlineare Funktionen (APN-Funktionen, aus dem Englischen: almost perfect nonlinear). Eine disj
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adf3b1002c8b55c67b55d709c787d290
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