Relative Difference Sets, Planar Functions, and Generalized Hadamard Matrices
β Scribed by S.L. Ma; A. Pott
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 888 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Planar functions from β«ήβ¬ to β«ήβ¬ are studied in this paper. By investigating the n n character values of the corresponding relative difference sets, we obtain some nonexistence results of planar functions. In particular, we show that there is no planar functions from Z to β«ήβ¬ , where p and q are any
In this article we give the definition of the class N = NI U N z U 3 f 3 where and prove: (1) 3 f l ( v ) # 4 for v E 3fl = { p 2 r : p = S(mod 8) a prime, T f O(mod 4)}, NZ = {3"( p ; --. P : ) ~: pi = 3(mod 4) a prime, pi > 3 , r,ri 2 0, i = l , ---, n ; n = 1,2,-\*.}, N 3 = {vv': v E N 1 and v '
## Abstract For cryptographic purposes, we want to find functions with both low differential uniformity and dissimilarity to all linear functions and to know when such functions are essentially different. For vectorial Boolean functions, extended affine equivalence and the coarser CarletβCharpinβZi
In this paper, a new family of relative difference sets with parameters Γ°m; n; k; lΓ ΒΌ ððq 7 Γ 1Γ=Γ°q Γ 1Γ; 4Γ°q Γ 1Γ; q 6 ; q 5 =4Γ is constructed where q is a 2-power. The construction is based on the technique used in [2]. By a similar method, we also construct some new circulant weighing matrices
This paper contains a discussion of cocyclic Hadamard matrices, their associated relative difference sets, and regular group actions. Nearly all central extensions of the elementary abelian 2-groups by Z 2 are shown to act regularly on the associated group divisible design of the Sylvester Hadamard