Gröbner Bases over Galois Rings with an Application to Decoding Alternant Codes-Reference-Cited by-同舟云学术

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Gröbner Bases over Galois Rings with an Application to Decoding Alternant Codes

Published:2001-05 Issue:5 Volume:31 Page:565-584
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Byrne Eimear,Fitzpatrick Patrick

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference21 articles.

1. An introduction to Gröbner bases;Adams;Graduate Stud. Math.,1994

2. A. de Andrade, J. C. Interlando, R, Jr. Palazzo

3. Gröbner Bases: A Computational Approach to Commutative Algebra;Becker,1993

4. E. Byrne, P. Fitzpatrick

5. Modular and p-adic cyclic codes;Calderbank;Des. Codes Cryptogr.,1995

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1. List Decoding of Quaternary Codes in the Lee Metric;2022 IEEE International Symposium on Information Theory (ISIT);2022-06-26

2. Symbol-Pair Distances of Repeated-Root Negacyclic Codes of Length 2s over Galois Rings;Algebra Colloquium;2021-11-08

3. A Gröbner Basis Algorithm for Ideals over Zero-Dimensional Valuation Rings;Journal of Systems Science and Complexity;2021-01-12

4. On cyclic codes over Galois rings;Discrete Applied Mathematics;2020-06

5. Algebraic structure of cyclic and negacyclic codes over a finite chain ring alphabet and applications;Vinh University Journal of Science;2019-08-15

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