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An infinite class of supplementary difference sets and Williamson matrices

✍ Scribed by Ming-Yuan Xia; Gang Liu

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 280 KB
Volume: 58
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(91)90065-o

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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 '