A Class of Three-Weight Cyclic Codes
Cyclic codes are a subclass of linear codes. They have efficient encoding and decoding algorithms, so they are used for consumer electronics, data storage systems,and communication systems. In this paper, a class of three-weight cyclic codes over GF(2) whose duals have two zeros is presented. The weight distribution of this class of cyclic codes is settled by quadratic form theory.
Authors
- Changli Ma
- Yang Liu (ORCID: https://orcid.org/0000-0003-2167-4496)
- Xue Xu (ORCID: https://orcid.org/0000-0002-3421-1565)
Institutions
- Tianjin University of Commerce (CN)
- Hebei Normal University (CN)
Publication Details
- Journal
- Parallel Processing Letters
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1142/s0129626425500057
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00