Abstract
Partial MDS (PMDS) codes are a class of erasure-correcting array codes which combine local correction of the rows with global correction of the array. An m × n array code is called an (r; s) PMDS code if each row belongs to an [n, n − r, r + 1] MDS code and the code can correct erasure patterns consisting of r erasures in each row together with s more erasures anywhere in the array. While a recent construction by Calis and Koyluoglu generates (r; s) PMDS codes for all r and s, its field size is exponentially large. In this paper, a family of PMDS codes with field size O(max{m, nr+s}s) is presented.
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