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arXiv · 2502.12897

On Zero Skip-Cost Generalized Fractional-Repetition Codes from Covering Designs

Wenjun Yu·Bo-Jun Yuan·Moshe Schwartz
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Abstract

We study generalized fractional repetition codes that have zero skip cost, and which are based on covering designs. We show that a zero skip cost is always attainable, perhaps at a price of an expansion factor compared with the optimal size of fractional repetition codes based on Steiner systems. We provide three constructions, as well as show non-constructively, that no expansion is needed for all codes based on sufficiently large covering systems.

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Wenjun Yu, Bo-Jun Yuan, Moshe Schwartz. 2025-02-18. On Zero Skip-Cost Generalized Fractional-Repetition Codes from Covering Designs. https://arxiv.org/abs/2502.12897

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