On Calculation of Monomial Automorphisms of Linear Cyclic Codes
- Авторлар: Kugurakov V.1, Gainutdinova A.1, Anisimova T.1
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Мекемелер:
- Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
- Шығарылым: Том 39, № 7 (2018)
- Беттер: 1024-1038
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202898
- DOI: https://doi.org/10.1134/S1995080218070168
- ID: 202898
Дәйексөз келтіру
Аннотация
A description of the monomial automorphisms group of an arbitrary linear cyclic code in term of polynomials is presented. This allows us to reduce a task of code’s monomial automorphisms calculation to a task of solving some system of equations (in general, nonlinear) over a finite field. The results are illustrated with examples of calculating the full monomial automorphisms groups for two codes.
Негізгі сөздер
Авторлар туралы
V. Kugurakov
Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
Хат алмасуға жауапты Автор.
Email: vladimir.kugurakov@kpfu.ru
Ресей, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008
A. Gainutdinova
Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
Email: vladimir.kugurakov@kpfu.ru
Ресей, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008
T. Anisimova
Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies
Email: vladimir.kugurakov@kpfu.ru
Ресей, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008