Self-dual double cyclic codes over $\mathbb{Z}_2$

Journal of Linear and Topological Algebra

دوره 10، شماره 04، اسفند 2021، صفحه 257-267   

نوع مقاله: Research Paper

نویسندگان

H. Movahedi؛ L. Pourfaraj^*

Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran

چکیده

A double cyclic code (or \emph{DC code}) of length $n=k+l$ over $\mathbb{Z}_2$ 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.

کلیدواژه‌ها

Canonical projections؛ double cyclic codes؛ self-dual codes؛ shadow codes

مراجع

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