Weighing Matrices and Self-Orthogonal Quaternary Codes

C. Charnes, University of Melbourne
J. Seberry, University of Wollongong

Article comments

This article was originally published as Charnes, C and Seberry, J, Weighing Matrices and Self-Orthogonal Quaternary Codes, Journal of Combinatorial Mathematics and Combinatorial Computing, 44, 2003, 85-89.

Abstract

We consider families of linear self-orthogonal and self-dual codes over the ring Z4 which are generated by weighing matrices W (n, k) k ≡ 0 (mod 4), whose entries are interpreted as elements of the ring Z4. We obtain binary formally self-dual codes of minimal Hamming distance 4 by applying the Gray map to the quaternary codes generated by W (n, 4).