3 papers
cs.IT2026
Counterexamples to Charpin's Conjecture on BCH codes
Run Zheng, Yaoran Yang, Yutong Zhang +1
Determining the exact minimum distance of BCH codes is a longstanding and challenging problem. In this paper, we construct an infinite family of primitive narrow-sense BCH codes wh…
cs.IT2026
The dimension and Bose distance of some BCH codes of length
Run Zheng, Nung-Sing Sze, Zejun Huang
BCH codes are important error correction codes, widely utilized due to their robust algebraic structure, multi-error correcting capability, and efficient decoding algorithms. Despi…
cs.IT2025
The dimension and Bose distance of certain primitive BCH codes
Run Zheng, Nung-Sing Sze, Zejun Huang
BCH codes are a significant class of cyclic codes that play an important role in both theoretical research and practical applications. Their strong error-correcting abilities and e…