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Optimal difference systems of sets and difference sets

โœ Scribed by Xin Wang; Jinhua Wang


Publisher
Springer
Year
2011
Tongue
English
Weight
197 KB
Volume
82
Category
Article
ISSN
0001-9054

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## Koukouvinos, C., S. Kounias and J. Seberry, Supplementary difference sets and optimal designs, Discrete Mathematics 49-58. D-optimal designs of order n = 2v -2 (mod 4), where q is a prime power and v = q2 + q + 1 are constructed using two methods, one with supplementary difference sets and the

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In this paper we prove that a near difference set with parameters v=2(q+1), k=q, \*= 1 2 (q&1) may be constructed whenever q is an odd prime power. 1996 Academic Press, Inc. (i) For each a ร‚ H the congruence d i &d j #a (mod v) has exactly \* solution pairs (d i , d j ), d i , d j # D.