Email this article On the full monomial automorphism groups of Reed–Solomon codes and their MDS-extensions
- Authors: Kugurakov V.1, Gainutdinova A.1
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Affiliations:
- Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
- Issue: Vol 37, No 6 (2016)
- Pages: 650-669
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198358
- DOI: https://doi.org/10.1134/S1995080216060160
- ID: 198358
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Abstract
We determine the full monomial automorphism groups of Reed–Solomon codes and of theirMDS-extensions by adding one, two, and three symbols.We show that several Reed–Solomon codes, extended by two symbols, are equivalent to constacyclic codes and, under certain conditions, to cyclic codes.
About the authors
V. Kugurakov
Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: vladimir.kugurakov@kpfu.ru
Russian Federation, Kremlevskaya ul. 35, Kazan, Tatrstan, 420008
A. Gainutdinova
Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
Email: vladimir.kugurakov@kpfu.ru
Russian Federation, Kremlevskaya ul. 35, Kazan, Tatrstan, 420008
