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Optimal designs, supplementary difference sets and multipliers

โœ Scribed by C. Koukouvinos; Jennifer Seberry; A.L. Whiteman; Ming-yuan Xia

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
327 KB
Volume
62
Category
Article
ISSN
0378-3758

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โœฆ Synopsis

We investigate multipliers of 2-{v; q2,q2; )~} supplementary difference sets where cyclotomy has been used to construct D-optimal designs.

๐Ÿ“œ SIMILAR VOLUMES

Supplementary difference sets and optima
Supplementary difference sets and optimal designs
โœ Christos Koukouvinos; Stratis Kounias; Jennifer Seberry ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 534 KB

## 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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โœ Th Chadjipantelis; Stratis Kounias ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 284 KB

Supplementary difference sets 2-{ยฝn; k, r; k} are used to construct D-optimal designs for n-= 2 rood 4, where k, r,/t are defined through n. A number of new designs is constructed. The D-optimal design for n = 86 is constructed for the first time. For n~2mod4, n<100 and for the cases n =22, 34, 58

Supplementary difference sets and Jacobi
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โœ Mieko Yamada ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 752 KB

Yamada, M., Supplementary difference sets and Jacobi sums, Discrete Mathematics 103 (1992) 75-90. Let 4 = ef + 1 be an odd prime power and C,, 1 =Z i =S e -1, be cyclotomic classes of the eth power residues in F = GF(q). Let Ai with #A, = ujr 1 =~i Sn, be non-empty subsets of Q={O,l,..., e-l}andletD