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20242026
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cs.IT2026

One Burst of t-Deletion and One Burst of t-Substitution Error-Correcting Codes

Yajuan Liu, Han Cai, Tolga M. Duman

Synchronization errors, including insertions, deletions, and substitutions, may occur in bursts in communication systems such as DNA data storage, file synchronization, and magneti…

cs.IT2026

Convertible Polynomial Evaluation Codes in the Merge Regime: A Skew-Polynomial Framework

Songping Ge, Han Cai, Xiaohu Tang

In this paper, we develop an algebraic framework for merge-regime convertible codes that works directly with the polynomial-evaluation structure of the underlying codes. We charact…

cs.IT2026

Convertible Codes: MSR-to-MSR Conversion with Optimal Access and Bandwidth

Yumeng Yang, Han Cai, Xianfu Lei +1

In this paper, we study convertible codes in the merge regime and focus on the minimum storage regenerating (MSR) setting, where both the initial codes and the final code admit opt…

cs.IT2025

Locally Repairable Convertible Codes: Improved Lower Bound and General Construction

Songping Ge, Han Cai, Xiaohu Tang

In this paper, we consider the convertible code with locally repairable property. We present an improved lower bound on access cost associated with . Then, we provide a gen…

cs.IT2025

A New Cooperative Repair Scheme with Small Finite Field for Distributed Storage Systems

Yajuan Liu, Han Cai, Xiaohu Tang

In this paper, we consider the multiple failures in the distributed storage systems under the cooperative repair model. We introduce a new cooperative repair scheme for the (n,k,d,…

cs.IT2024

Repairing Schemes for Tamo-Barg Codes

Han Cai, Ying Miao, Moshe Schwartz +1

In this paper, the repair problem for erasures beyond locality in locally repairable codes is explored under a practical system setting, where a rack-aware storage system consists…