On Quasi-Cyclic Codes of Index 3
Quasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated. We give a characterization of self-orthogonal and dual-containing codes. A quasi-cyclic code of index 3 is generated by at most three elements. We describe conditions when such a code (or its dual) is generated by one element.
Authors
- Kanat Abdukhalikov (ORCID: https://orcid.org/0000-0003-0670-1361)
- Rasha Shat
Institutions
- United Arab Emirates University (AE)
Publication Details
- Journal
- Entropy
- Published
- 2025-10-23
- DOI
- https://doi.org/10.3390/e27111096
- Citations
- 1
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 2.48