|Title:||Lowest-density MDS codes over extension alphabets
|Authors:||Erez Louidor, Ron M. Roth
|Abstract:||Let F be a finite field and b be a positive integer. A construction is presented of codes over the alphabet F^b with the following three properties: (i) the codes are MDS over F^b, (ii) they are linear over F, and (iii) they have systematic generator and parity-check matrices over F with the smallest possible number of nonzero entries. Furthermore, for the case F = GF(2), the construction is the longest possible among all codes that satisfy properties (i)-(iii).|
|Copyright||The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information|
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