1. On cyclic self-orthogonal codes over [formula omitted].
- Author
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Qian, Kaiyan, Zhu, Shixin, and Kai, Xiaoshan
- Subjects
- *
ORTHOGONAL functions , *POLYNOMIALS , *NUMBER theory , *MATHEMATICAL analysis , *MATHEMATICAL functions - Abstract
In this paper, we study cyclic self-orthogonal codes over Z 2 m for any odd length. We give the generator polynomials of cyclic self-orthogonal codes over Z 2 m . By using these generator polynomials, we obtain a sufficient and necessary condition for the existence of nontrivial cyclic self-orthogonal codes over Z 2 m and determine the number of such codes for a given odd length. Some results about cyclic self-dual codes over Z 2 m are included. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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