Using cyclotomy to construct orthogonal designs

Authors

Joan CooperFollow
Jennifer Seberry, University of WollongongFollow

Publication Details

Joan Cooper and Jennifer Seberry Wallis, Using cyclotomy to construct orthogonal designs, Journal of the Australian Mathematical Society, Ser. A, 22, (1976), 119-127.

Abstract

An orthogonal design of order n and type (s₁, S₂) on the commuting variables x_1, X₂ is a matrix of order n with entries from {O, ± x_1, ± x₂ } whose row vectors are formally orthogonal.

This note uses cyclotomy to construct orthogonal designs and finds several infinite families of new designs.