Symmetric Bush-type generalized Hadamard matrices and association schemes

Abstract

We define Bush-type generalized Hadamard matrices over abelian groups and construct symmetric Bush-type generalized Hadamard matrices over the additive group of finite field ${\mathbb{F}}_q$, $q$ a prime power. We then show and study an association scheme obtained from such generalized Hadamard matrices.

arXiv comment10 pages