Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/<X_1^rho_1,...,X_s^rho_s>
Publish place: The Journal of Algebra and Related Topics، Vol: 6، Issue: 2
Publish Year: 1397
Type: Journal paper
Language: English
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Document National Code:
JR_JART-6-2_004
Index date: 21 July 2024
Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/<X_1^rho_1,...,X_s^rho_s> abstract
First, we apply the method presented by Zahra Sepasdar in the two-dimensional case to construct a basis of a three dimensional cyclic code. We then generalize this construction to a general s-dimensional cyclic code.
Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/<X_1^rho_1,...,X_s^rho_s> Keywords:
quotient-ring , ideal , ideal basis , multicyclic code , polynomial division algorithm (by many divisors)
Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/<X_1^rho_1,...,X_s^rho_s> authors
R. Andriamifidisoa
Department of Mathematics and Computer Science, University of Antananarivo, Antananarivo, Madagascar
R. M. Lalasoa
Department of Mathematics, University of Antananarivo, Antananarivo, Madagascar
T. J. Rabeherimanana
Department of Mathematics, University of Antananarivo, Antananarivo, Madagascar
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