Hulls of q-Ary Narrow-Sense BCH Codes of Length q4 − 1
Let [Formula: see text] be the narrow-sense BCH code over [Formula: see text] of length [Formula: see text] with designed distance [Formula: see text]. This paper mainly investigates the parameters of the codes [Formula: see text] and their hulls for [Formula: see text]. A sufficient and necessary condition on the designed distance such that the hull has the largest dimension is presented. Finally, examples of self-orthogonal codes from their hulls are obtained.
Authors
- Chengju Li (ORCID: https://orcid.org/0000-0002-2546-8641)
- Xueying Shi (ORCID: https://orcid.org/0000-0003-0887-491X)
- Yabo Yang
Institutions
- Shanghai Key Laboratory of Trustworthy Computing (CN)
- Taizhou University (CN)
Publication Details
- Journal
- International Journal of Foundations of Computer Science
- Published
- 2025-10-09
- DOI
- https://doi.org/10.1142/s0129054125500339
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00