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Supplementary difference sets and optimal designs

✍ Scribed by Christos Koukouvinos; Stratis Kounias; Jennifer Seberry

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 534 KB
Volume: 88
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90058-a

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✦ Synopsis

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 other using projective planes more directly.

An infinite family of Hadamard matrices of order n = 4v with maximum excess u(n) = nm where q is a prime power and v = q2 + q + 1 is a prime, is also constructed.

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