Publications (4)
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…
Linear maps preserving (p,k) norms of tensor products of matrices
Zejun Huang, Nung-Sing Sze, Run Zheng
Let be integers. Denote by the set of complex matrices. Let be the norm on with and .…
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…
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…