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arXiv · 1701.05212

Locally recoverable codes from algebraic curves and surfaces

Alexander Barg·Kathryn Haymaker·Everett W. Howe·Gretchen L. Matthews·Anthony Várilly-Alvarado
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Abstract

A locally recoverable code is a code over a finite alphabet such that the value of any single coordinate of a codeword can be recovered from the values of a small subset of other coordinates. Building on work of Barg, Tamo, and Vlăduţ, we present several constructions of locally recoverable codes from algebraic curves and surfaces.

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Alexander Barg, Kathryn Haymaker, Everett W. Howe, Gretchen L. Matthews, Anthony Várilly-Alvarado. 2017-01-18. Locally recoverable codes from algebraic curves and surfaces. https://doi.org/10.1007/978-3-319-63931-4_4

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