COMPLEX WEIGHING MATRICES AND QUATERNARY CODES
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.
Authors
- Patrick Solé (ORCID: https://orcid.org/0000-0002-4078-8301)
- Minjia Shi (ORCID: https://orcid.org/0000-0002-4990-6271)
- Ronan Egan (ORCID: https://orcid.org/0000-0001-6010-116X)
- DANNI LU
Institutions
- Centre National de la Recherche Scientifique (FR)
- Anhui University (CN)
- Aix-Marseille Université (FR)
- Centrale Méditerranée (FR)
- Institut Polytechnique de Bordeaux (FR)
- Dublin City University (IE)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2024-10-22
- DOI
- https://doi.org/10.1017/s0004972724000893
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00