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Relative Difference Sets, Planar Functions, and Generalized Hadamard Matrices

✍ 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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πŸ“œ SIMILAR VOLUMES


Planar Functions, Relative Difference Se
✍ S.L. Ma πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 192 KB

Planar functions from β€«ήšβ€¬ to β€«ήšβ€¬ 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€«ήšβ€¬ , where p and q are any

Hadamard matrices constructed from suppl
✍ Ming-Yuan Xia; Tian-Bing Xia πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 385 KB

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 '

Relative difference sets, graphs and ine
✍ K. J. Horadam πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 154 KB

## 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 Carlet–Charpin–Zi

Constructions of Relative Difference Set
✍ Ka Hin Leung; Siu Lun Ma; Bernhard Schmidt πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 173 KB

In this paper, a new family of relative difference sets with parameters Γ°m; n; k; lÞ ΒΌ ððq 7 Γ€ 1Þ=Γ°q Γ€ 1Þ; 4Γ°q Γ€ 1Þ; q 6 ; q 5 =4Þ 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

Cocyclic Orthogonal Designs and the Asym
✍ Warwick de Launey; Michael J. Smith πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 477 KB

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