Work

On Hadamard-Type Matrices of Even Orders over Finite Fields

Year: 2025

Type: article

Abstract: Hadamard-type matrix on GF(p) is a square matrix H that have its elements on GF(p) and satisfies HHT = nI under modulo p, where n represents the order of the matrix and I is an identity matrix. Any additions and multiplications should be executed under modulo p. It has been shown that the order of an arbitrary Hadamard-type matrix of odd order is limited to a quadratic residue of a given prime p. In this study, we show that it is possible to generate a Hadamard-type matrix of any even order.

Source: IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

DOI: 10.1587/transfun.2025tal0002

Authors: Iori KODAMA, Tetsuya KOJIMA

Institution: National Institute of Technology, Tokyo College

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4413922018

FWCI: 0.854

Cites:

Cited by: 2

Related to: 10