Locally Repairable Convertible Codes: Improved Lower Bound and General Construction

Songping Ge; Han Cai; Xiaohu Tang

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arXiv · 2504.06734

Locally Repairable Convertible Codes: Improved Lower Bound and General Construction

Songping Ge·Han Cai·Xiaohu Tang

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Abstract

In this paper, we consider the convertible code with locally repairable property. We present an improved lower bound on access cost associated with $(r,\delta)$. Then, we provide a general construction of convertible codes with optimal access cost which shows that those codes can be with super-linear length or maximum repairable property. Additionally, employing the known locally repairable codes with super-linear length or maximum repairable property, we provide explicit constructions of convertible codes with super-linear length or maximum repairable property.

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Songping Ge, Han Cai, Xiaohu Tang. 2025-04-09. Locally Repairable Convertible Codes: Improved Lower Bound and General Construction. https://arxiv.org/abs/2504.06734

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