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Construction of storage codes of rates approaching one on triangle-free graphs

Consider an assignment of bits to the vertices of a connected graph $Γ(V, E)$ with the property that the value of each vertex is a function of the values of its neighbors. A collection of such assignments is called a storage code of length $|V|$ on $Γ$. In this paper we construct an infinite family of binary linear storage codes on triangle-free graphs with rates arbitrarily close to one.

preprint2023arXivOpen access
Hexiang HuangQing Xiang
math.CO
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Hexiang HuangQing Xiang

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