The BMS Algorithm and Decoding of AG Codes-Reference-Cited by-同舟云学术

The BMS Algorithm and Decoding of AG Codes

Published:2009 Issue: Volume: Page:165-185
ISSN:
Container-title:Gröbner Bases, Coding, and Cryptography
language:
Short-container-title:

Author:

Sakata Shojiro

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/978-3-540-93806-4_10.pdf

Reference63 articles.

1. D. Augot, A parallel version of a special case of the Sudan list decoding algorithm, Proc. of ISIT2002, 2002, pp. 86–86.

2. D. Augot, E. Betti, and E. Orsini, An introduction to linear and cyclic codes, this volume, 2009, pp. 47–68.

3. S. R. Blackburn and W. G. Chambers, Some remarks on an algorithm of Fitzpatrick, IEEE Trans. on Inf. Th. 42 (1996), no. 4, 1269–1271.

4. B. Buchberger, Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, Ph.D. thesis, Innsbruck, 1965.

5. B. Buchberger, Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems, Aequationes Math. 4 (1970), 374–383.

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Decoding up to 4 Errors in Hyperbolic-Like Abelian Codes by the Sakata Algorithm;Arithmetic of Finite Fields;2021

2. On the evaluation codes given by simple $$\delta $$ δ -sequences;Applicable Algebra in Engineering, Communication and Computing;2015-08-01

3. The BMS Algorithm;Gröbner Bases, Coding, and Cryptography;2009

4. A Tutorial on AG Code Decoding from a Gröbner Basis Perspective;Gröbner Bases, Coding, and Cryptography;2009

5. Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art;Gröbner Bases, Coding, and Cryptography;2009