On a class of quaternary complex Hadamard matrices

2017/09/08 by Kai Fender, Fender, Kai, Hadi Kharaghani +3
Computer Science · Engineering · Mathematics · #Advanced Topics in Algebra #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1709.02873

openalex publication_date 2017/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a class of regular unit Hadamard matrices whose entries consist of two complex numbers and their conjugates for a total of four complex numbers. We then show that these matrices are contained in the Bose-Mesner algebra of an association scheme arising from skew Paley matrices.

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