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Self-dual double cyclic codes over Z2.
- Source :
-
Journal of Linear & Topological Algebra . Autumn2021, Vol. 10 Issue 4, p257-267. 11p. - Publication Year :
- 2021
-
Abstract
- A double cyclic code (or 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CYCLIC codes
*CODE generators
*BINARY codes
*LINEAR codes
Subjects
Details
- Language :
- English
- ISSN :
- 22520201
- Volume :
- 10
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Linear & Topological Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 155201977