Abstract—The high repair cost of (n;k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of MDS codes, called Repair MDS codes, that can signific...
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...
—For a linear block code C, its stopping redundancy is defined as the smallest number of check nodes in a Tanner graph for C, such that there exist no stopping sets of size smal...
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...