Title of article
FINDING A GENERATOR MATRIX OF A MULTIDIMENSIONAL CYCLIC CODE
Author/Authors
andriamifidisoa, r. university of antananarivo - higher polytechnics institute of madagascar (ispm) - department of mathematics, Antananarivo, Madagascar , lalasoa, r. m. university of antananarivo - department of mathematics and computer science, Antananarivo, Madagascar , rabeherimanana, t. j. university of antananarivo - department of mathematics, An tananarivo, Madagascar
From page
63
To page
83
Abstract
We generalize Sepasdar’s method for finding a gene rator matrix of two-dimensional cyclic codes to find a generating subset and a linearly independent subset of a general multicyclic code. From these sets, a basis of the code as a vector subspace can be deduced or constructed. A generator matrix can be then deduced from this basis.
Keywords
quotient ring , lexicographic order , ideal basis , multicyclic code , generator matrix
Journal title
Journal of Algebra and Related Topics
Journal title
Journal of Algebra and Related Topics
Record number
2650109
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