Symplectic codes over a non-unitary ring
In this paper, we consider the commutative non-unitary ring of order four defined as [Formula: see text] Self-orthogonal codes for a symplectic inner product over [Formula: see text] are introduced. A mass formula to enumerate them under symplectic equivalence is given. An application is a classification of such codes in short lengths.
Authors
- Sarra Manseri
- Rowena Alma Betty (ORCID: https://orcid.org/0000-0001-6188-2893)
- Patrick Solé (ORCID: https://orcid.org/0000-0002-4078-8301)
- Lucky Galvez (ORCID: https://orcid.org/0000-0003-4888-0425)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Aix-Marseille Université (FR)
- Central China Normal University (CN)
- Institut Polytechnique de Bordeaux (FR)
- University of the Philippines Diliman (PH)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1142/s021949882541018x
- Citations
- 1
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 2.48