Title :
The minimum distance of codes in an array coming from telescopic semigroups
Author :
Kirfel, Christoph ; Pellikaan, Ruud
Author_Institution :
Bergen Laererhogskole, Landaas, Norway
fDate :
11/1/1995 12:00:00 AM
Abstract :
The concept of an error-correcting array gives a new bound on the minimum distance of linear codes and a decoding algorithm which decodes up to half this bound. This gives a unified point of view which explains several improvements on the minimum distance of algebraic-geometric codes. Moreover, it is explained in terms of linear algebra and the theory of semigroups only
Keywords :
Goppa codes; algebraic geometric codes; decoding; error correction codes; linear algebra; linear codes; algebraic-geometric codes; bound; decoding algorithm; error-correcting array; linear algebra; linear codes; minimum distance; telescopic semigroups; Linear algebra;
Journal_Title :
Information Theory, IEEE Transactions on
