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 '
โฆ LIBER โฆ
A new family of supplementary difference sets and Hadamard matrices
โ Scribed by Ming-yuan Xia; Gang Liu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 263 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
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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