On cyclic self-orthogonal codes over Z 2m

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Abstract

In this paper, we study cyclic self-orthogonal codes over Z2m for any odd length. We give the generator polynomials of cyclic self-orthogonal codes over Z2m. By using these generator polynomials, we obtain a sufficient and necessary condition for the existence of nontrivial cyclic self-orthogonal codes over Z2m and determine the number of such codes for a given odd length. Some results about cyclic self-dual codes over Z2m are included.

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APA

Qian, K., Zhu, S., & Kai, X. (2015). On cyclic self-orthogonal codes over Z 2m. Finite Fields and Their Applications, 33, 53–65. https://doi.org/10.1016/j.ffa.2014.11.005

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