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Run Zheng

4 papers

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papers

Publications (4)

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…

math.FA2023

Linear maps preserving (p,k) norms of tensor products of matrices

Zejun Huang, Nung-Sing Sze, Run Zheng

Let m,n≥2 be integers. Denote by Mn​ the set of n×n complex matrices. Let ∥⋅∥(p,k)​ be the (p,k) norm on Mmn​ with 1≤k≤mn and 2<p<∞.…

cs.IT2026

The dimension and Bose distance of some BCH codes of length I^qm−1​»

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.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…

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