Skip to main content
placeholder image

Supplementary difference sets and optimal designs

Journal Article


Abstract


  • D-optimal designs of order n = 2 v ≡ 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 σ(n) = n n-3 where q is a prime power and v = q2 + q + 1 is a prime, is also constructed. © 1991.

Publication Date


  • 1991

Citation


  • Koukouvinos, C., Kounias, S., & Seberry, J. (1991). Supplementary difference sets and optimal designs. Discrete Mathematics, 88(1), 49-58. doi:10.1016/0012-365X(91)90058-A

Scopus Eid


  • 2-s2.0-0002355370

Web Of Science Accession Number


Start Page


  • 49

End Page


  • 58

Volume


  • 88

Issue


  • 1

Abstract


  • D-optimal designs of order n = 2 v ≡ 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 σ(n) = n n-3 where q is a prime power and v = q2 + q + 1 is a prime, is also constructed. © 1991.

Publication Date


  • 1991

Citation


  • Koukouvinos, C., Kounias, S., & Seberry, J. (1991). Supplementary difference sets and optimal designs. Discrete Mathematics, 88(1), 49-58. doi:10.1016/0012-365X(91)90058-A

Scopus Eid


  • 2-s2.0-0002355370

Web Of Science Accession Number


Start Page


  • 49

End Page


  • 58

Volume


  • 88

Issue


  • 1