IJPAM: Volume 80, No. 3 (2012)
Hamburg University of Technology
21071, Hamburg, GERMANY
Abstract. Each linear code can be described by a binomial ideal given as the sum of a toric ideal and a non-prime ideal. For binary linear codes, we provide standard bases for the localizations of the code ideals.
Received: April 11, 2012
AMS Subject Classification: 13P10, 94B05
Key Words and Phrases: commutative polynomial ring, linear code, Groebner basis, local ring, standard basis
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395