Title :
On near-MDS codes
Author :
Dodunekov, S.M. ; Landgev, I.N.
Author_Institution :
Inst. of Math., Sofia, Bulgaria
fDate :
27 Jun-1 Jul 1994
Abstract :
Considers a family of codes obtained by weakening the restrictions in the definition of classical maximum-distance-separable (MDS) codes. This family of codes, which the authors call near-MDS (NMDS) contains remarkable representatives such as the ternary Golay codes, the quaternary quadratic-residue [11,6,5] and extended quadratic-residue [12,6,6] codes, as well as a large number of algebraic geometric (AG) codes. There exist interesting connections of NMDS codes with area in finite projective geometries, as well as with combinatorial designs
Keywords :
Golay codes; algebraic geometric codes; combinatorial mathematics; linear codes; NMDS codes; algebraic geometric code; classical maximum-distance-separable codes; combinatorial designs; extended quadratic-residue; finite projective geometries; near-MDS codes; quaternary quadratic-residue; ternary Golay codes; Geometry; Hamming weight; Upper bound;
Conference_Titel :
Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
Conference_Location :
Trondheim
Print_ISBN :
0-7803-2015-8
DOI :
10.1109/ISIT.1994.395042
