Ideal representation of Reed–Solomon and Reed–Muller codes-Reference-Cited by-同舟云学术

Ideal representation of Reed–Solomon and Reed–Muller codes

Published:2012-07 Issue:3 Volume:51 Page:195-212
ISSN:0002-5232
Container-title:Algebra and Logic
language:en
Short-container-title:Algebra Logic

Author:

Couselo E.,González S.,Markov V. T.,Martínez C.,Nechaev A. A.

Publisher

Springer Science and Business Media LLC

Subject

Logic,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10469-012-9183-8.pdf

Reference15 articles.

1. E. F. Assmus, Jr. and J. D. Key, “Polynomial codes and finite geometries,” in Handbook of Coding Theory, Vol. 1, Pt. 1, Algebraic Coding, V. S. Pless and W. Cary Huffman (eds.), Elsevier, Amsterdam (1998), pp. 1269-1343.

2. P. Charpin, “Les codes de Reed–Solomon en tant qu’ideáux d’une algèbre modulaire,” C. R. Acad. Sci. Paris., Sér. I, Math., 294, 597-600 (1982).

3. P. Charpin, “Une description des codes de Reed–Solomon dans une algèbre modulaire,” C. R. Acad. Sci. Paris., Sér. I, Math., 299, 779-782 (1984).

4. P. Landrock and O. Manz, “Classical codes as ideals in group algebras,” Des., Codes Crypt., 2, No. 3, 273-285 (1992).

5. E. Couselo, S. González, V. Markov, C. Martinez, and A. Nechaev, “Some constructions of linearly optimal group codes,” Lin. Alg. Appl., 433, No. 2, 356-364 (2010).

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