Abstract—We introduce a new class of exact MinimumBandwidth Regenerating (MBR) codes for distributed storage systems, characterized by a low-complexity uncoded repair process tha...
We first present an equivalent definition of relative generalized Hamming weights of a linear code and its subcodes, and we develop a method using finite projective geometry. Makin...
A projective multiset is a collection of projective points, which are not necessarily distinct. A linear code can be represented as a projective multiset, by taking the columns of ...
We study codewords of small weight in the codes arising from Desarguesian projective planes. We first of all improve the results of K. Chouinard on codewords of small weight in th...
Veerle Fack, Szabolcs L. Fancsali, Leo Storme, Gee...
In this paper, we study block codes that are optimized to recover some lost source data even in case when full recovery is not possible. Conventionally, block codes designed for p...