Strong amicable orthogonal designs and amicable Hadamard matrices

Authors

Jennifer Seberry, University of WollongongFollow

RIS ID

76842

Publication Details

Seberry, J. (2013). Strong amicable orthogonal designs and amicable Hadamard matrices. Australasian Journal of Combinatorics, 55 5-13.

Abstract

Amicable orthogonal designs have renewed interest because of their use in mobile communications. We show the existence of strong amicable orthogonal designs, AOD(n: 1, n - 1; 1, n - 1), for n = pr + 1, p ≡ 3 (mod 4) a prime and for n = 2r, n a non-negative integer in a form more suitable for communications. Unfortunately the existence of amicable Hadamard matrices is not enough to demonstrate the existence of strong amicable orthogonal designs.