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TitleAbout the $n$th-root codes: a Gr\"obner basis approach to the weight computation.
Author(s) Marta Giorgetti
TypeBook, Chapter in Book, Conference Proceeding
AbstractRecently some methods have been proposed to find the distance and weight distribution of cyclic codes using Gröbner bases (Sala in Appl. Algebra Engrg. Comm. Comput. 13(2):137162, 2002; Mora and Sala in J. Symbolic Comput. 35(2):177194, 2003). We identify a class of codes for which these methods can be generalized. We show that this class contains all interesting linear codes (i.e., with d≥2) and we provide variants and improvements.
ISBN978-3-540-93805-7/hbk; 978-3-5
URL http://link.springer.com/chapter/10.1007%2F978-3-540-93806-4_20
PublisherBerlin: Springer
Translation No
Refereed No