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On Calculation of Monomial Automorphisms of Linear Cyclic Codes


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详细

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.

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V. Kugurakov

Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies

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Email: vladimir.kugurakov@kpfu.ru
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008

A. Gainutdinova

Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies

Email: vladimir.kugurakov@kpfu.ru
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008

T. Anisimova

Department of Theoretical Cybernetics, Institute of Computational Mathematics and Information Technologies

Email: vladimir.kugurakov@kpfu.ru
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008

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