Work

Complex Weighing Matrices and Quaternary Codes

Year: 2024

Type: article

Abstract: Weighing matrices with entries in the complex cubic and sextic roots of unity are employed to construct Hermitian self-dual codes and Hermitian linear complementary dual codes over the finite field $\mathrm {GF}(4).$ The parameters of these codes are explored for small matrix orders and weights.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972724000893

Authors: DANNI LU, MINJIA SHI, RONAN EGAN, PATRICK SOLÉ

Institutions: Anhui University, Dublin City University, Centre National de la Recherche Scientifique, Aix-Marseille Université, Institut de Mathématiques de Marseille, Centrale Méditerranée

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,450

OpenAlex ID: W4402548288

FWCI: 0.148

Cites: 11

Cited by: 1

Related to: 10