Optimal difference systems of sets and difference sets
โ Scribed by Xin Wang; Jinhua Wang
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 197 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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
We investigate multipliers of 2-{v; q2,q2; )~} supplementary difference sets where cyclotomy has been used to construct D-optimal designs.
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.