Victor Valls, Panagiotis Promponas, et al.
IEEE Communications Magazine
Partial MDS (PMDS) codes are a class of erasure-correcting array codes that combine local correction of the rows with global correction of the array. An m× n array code is called an (rs) 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\left (max m, nr+ss}\right) is presented for the case where r= O(1), s= O(1).
Victor Valls, Panagiotis Promponas, et al.
IEEE Communications Magazine
Elena Cabrio, Philipp Cimiano, et al.
CLEF 2013
Charles H. Bennett, Aram W. Harrow, et al.
IEEE Trans. Inf. Theory
Donald Samuels, Ian Stobert
SPIE Photomask Technology + EUV Lithography 2007