The high repair cost of (n, k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of codes, called Regenerating Codes, that optimally trade off stor...
An erasure channel with a fixed alphabet size q, where q 1, is studied . It is proved that over any erasure channel (with or without memory), Maximum Distance Separable (MDS) codes...
Shervan Fashandi, Shahab Oveis Gharan, Amir K. Kha...
Abstract— In this paper, we present a new description of the XCode, a class of MDS array code, using skews, named S-Code. The X-Codes result in codewords that are arrays of size ...
A group code defined over a group G is a subset of Gn which forms a group under componentwise group operation. The well known matrix characterization of MDS (Maximum Distance Sepa...
A class of one-dimensional convolutional codes will be presented. They are all MDS codes, i. e., have the largest distance among all one-dimensional codes of the same length n and...