DocumentCode
818276
Title
Near Orders and Codes
Author
Carvalho, Cìcero ; Munuera, Carlos ; Silva, Ercilio Da ; Torres, Fernando
Author_Institution
Faculdade de Matematica, Univ. Fed. de Uberlandia
Volume
53
Issue
5
fYear
2007
fDate
5/1/2007 12:00:00 AM
Firstpage
1919
Lastpage
1924
Abstract
Hoslashholdt, van Lint, and Pellikaan used order functions to construct codes by means of Linear Algebra and Semigroup Theory only. However, Geometric Goppa codes that can be represented by this method are mainly those based on just one point. In this correspondence, we introduce the concept of near order function with the aim of generalizing this approach in such a way that a wider family of Geometric Goppa codes can be studied on a more elementary setting
Keywords
Goppa codes; geometric codes; linear algebra; geometric Goppa codes; linear algebra; order function; semigroup theory; Error correction codes; Galois fields; Linear algebra; Mathematics; Algebraic geometric Goppa (GG) codes; Weierstrass semigroups; error-correcting codes; order function;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2007.894663
Filename
4167724
Link To Document