Title of article
Self-dual double cyclic codes over Z2
Author/Authors
Movahedi, H. Department of Mathematics - Faculty of Science - Islamic Azad University Central Tehran Branch, Tehran , Pourfaraj, L. Department of Mathematics - Faculty of Science - Islamic Azad University Central Tehran Branch, Tehran
Pages
11
From page
257
To page
267
Abstract
A double cyclic code (or emph{DC code}) of length n=k+l over Z2 is a binary linear code, where any cyclic shift of the first k coordinates and the last l coordinates of a codeword is also a codeword. In this paper, we study the relationship between separability and self-duality of these codes. Also, we obtain the shadow code by determining the generator polynomials of the doubly even subcode of the self-dual code.
Keywords
Canonical projections , double cyclic codes , self-dual codes , shadow codes
Journal title
Journal of Linear and Topological Algebra
Serial Year
2021
Record number
2702594
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