On the full monomial automorphism groups of Reed–Solomon codes and their MDS-extensions
- Авторы: Kugurakov V.1, Gainutdinova A.1
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Учреждения:
- Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
- Выпуск: Том 37, № 6 (2016)
- Страницы: 650-669
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198358
- DOI: https://doi.org/10.1134/S1995080216060160
- ID: 198358
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Аннотация
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.
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Об авторах
V. Kugurakov
Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
Автор, ответственный за переписку.
Email: vladimir.kugurakov@kpfu.ru
Россия, Kremlevskaya ul. 35, Kazan, Tatrstan, 420008
A. Gainutdinova
Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
Email: vladimir.kugurakov@kpfu.ru
Россия, Kremlevskaya ul. 35, Kazan, Tatrstan, 420008