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arXiv · 2007.14829

Constructing Partial MDS Codes from Reducible Curves

Tristram Bogart·Anna-Lena Horlemann-Trautmann·David Karpuk·Alessandro Neri·Mauricio Velasco
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Abstract

We propose reducible algebraic curves as a mechanism to construct Partial MDS (PMDS) codes geometrically. We obtain new general existence results, new explicit constructions and improved estimates on the smallest field sizes over which such codes can exist. Our results are obtained by combining ideas from projective algebraic geometry, combinatorics and probability theory.

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Tristram Bogart, Anna-Lena Horlemann-Trautmann, David Karpuk, Alessandro Neri, Mauricio Velasco. 2020-07-29. Constructing Partial MDS Codes from Reducible Curves. https://arxiv.org/abs/2007.14829

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