2025/10/07 by Hadi Kharaghani, Kharaghani, Hadi, Vlad Zaitsev +1
Computer Science · Engineering · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2510.06489
openalex publication_date 2025/10/07 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28
This paper introduces and investigates a novel class of skew-regular Quaternary Hadamard matrices. For every odd prime power p, we establish the existence of these matrices for all orders 1+p2, each characterized by a constant row sum of 1-pi. Motivated by the growing importance of large-excess matrices in the maximum determinant problem and quantum nonlocality, we demonstrate that this class provides a robust framework for generating Hadamard matrices with exceptionally large excess.