GRÖBNER BASIS TECHNIQUES TO COMPUTE WEIGHT DISTRIBUTIONS OF SHORTENED CYCLIC CODES-Reference-Cited by-同舟云学术

GRÖBNER BASIS TECHNIQUES TO COMPUTE WEIGHT DISTRIBUTIONS OF SHORTENED CYCLIC CODES

Published:2007-06 Issue:03 Volume:06 Page:403-414
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

SALA MASSIMILIANO¹

Affiliation:

1. Boole Centre for Research in Informatics, UCC Cork, Ireland

Abstract

Using Gröbner techniques, we can exhibit a method to get the distance and weight distribution of cyclic codes and shortened cyclic codes, improving earlier similar results for the distance of cyclic codes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498807002260

Reference20 articles.

1. On computing the weight spectrum of cyclic codes

2. A New Bound for the Minimum Distance of a Cyclic Code From Its Defining Set

3. A “Divide and conquer” algorithm for Hilbert-Poincaré series, multiplicity and dimension of monomial ideals

4. The Chen-Reed-Helleseth-Truong Decoding Algorithm and the Gianni-Kalkbrenner Gröbner Shape Theorem

5. Bounds for exponential sums

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