On Zero Skip-Cost Generalized Fractional-Repetition Codes from Covering Designs
Information Theory
2025-02-19 v1 Combinatorics
math.IT
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.
Keywords
Cite
@article{arxiv.2502.12897,
title = {On Zero Skip-Cost Generalized Fractional-Repetition Codes from Covering Designs},
author = {Wenjun Yu and Bo-Jun Yuan and Moshe Schwartz},
journal= {arXiv preprint arXiv:2502.12897},
year = {2025}
}