A family of difference sets in non-cyclic groups
TLDR
A construction is given for difference sets in certain non-cyclic groups with the parameters v, k, λ, n, which has minus one as a multiplier for every prime power q and every positive integer s.About:
This article is published in Journal of Combinatorial Theory, Series A.The article was published on 1973-07-01 and is currently open access. It has received 324 citations till now. The article focuses on the topics: Cyclic group & Prime power.read more
Citations
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Journal ArticleDOI
On “bent” functions
TL;DR: The polynomial degree of a bent function P ( x ) is studied, as are the properties of the Fourier transform of (−1) P(x) , and a connection with Hadamard matrices.
Journal ArticleDOI
Pseudo-random sequences and arrays
TL;DR: A simple description of pseudo-random sequences, or maximal-length shift-register sequences, and two-dimensional arrays of area n = 2lm- 1 with the same property.
Journal ArticleDOI
Generalized bent functions and their properties
TL;DR: The nature of the Fourier coefficients of a bent function is examined and a proof for the non-existence of bent functions over Jqm, m odd, is given for many values of q of the form q = 2 (mod 4).
Book ChapterDOI
Perfect nonlinear S-boxes
TL;DR: In this article, it was shown that for a perfect nonlinear S-box, the number of input variables is at least twice the size of output variables, and two different construction methods were given.
Journal Article
Perfect nonlinear S-boxes
TL;DR: A perfect nonlinear S-box is a substitution transformation with evenly distributed directional derivatives and the number of input variables is at least twice thenumber of output variables.
References
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Journal ArticleDOI
Some New Difference Sets
TL;DR: A difference set is a set of k distinct residues modulo v such that each non-zero residue occurs the same number of times among the k(k − 1) differences as discussed by the authors.
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On difference sets whose parameters satisfy a certain relation
TL;DR: Menon et al. as discussed by the authors proposed a novel approach to solve the problem of homonymity in homonymization, called KESAVA MENON (Kesava Menon).