Title :
A generalization of MDS codes
Author :
Luo, Yuan ; Fu, Fang-Wei ; Mitrpant, Chaichana ; Vinck, A. J Han
Author_Institution :
Comput. Sci. & Eng. Dept., Shanghai Jiao Tong Univ., China
fDate :
27 June-2 July 2004
Abstract :
An inverse relative dimension/length profile (IRDLP) of a pair of codes was introduced to describe the equivocation. In this paper, the maximum distance separable (MDS) code is extended to a two-code format: relative MDS pair. For a code and a subcode, the pair is called a relative MDS pair if its inverse relative dimension-length profile (IRDLP) reaches the generalized singleton bound. We consider properties and constructions of relative MDS pairs.
Keywords :
block codes; linear codes; MDS code; inverse relative dimension-length profile; linear block code; maximum distance separable code; singleton bound; Block codes; Computer science; Cryptography; Laboratories; Linear code; Mathematics;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365562
