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The weight distributions of a class of non-primitive cyclic codes with two nonzeros

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Abstract

Recently, a class of non-primitive cyclic codes with two nonzeros have received much attention of researchers and their weight distributions have been obtained for several cases of two key parameters related to the nonzeros. In this paper, by evaluating certain Jacobi sums, we determine the weight distributions of this class of cyclic codes for one more special case.

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Authors and Affiliations

  1. Faculty of Mathematics and Statistics, Hubei University, Wuhan, 430062, China

    DaBin Zheng, FengLi Zhou & XiangYong Zeng

  2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China

    Lei Hu & XiangYong Zeng

  3. Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing, 100048, China

    Lei Hu

Authors
  1. DaBin Zheng
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  2. FengLi Zhou
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  3. Lei Hu
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  4. XiangYong Zeng
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Correspondence to DaBin Zheng.

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Zheng, D., Zhou, F., Hu, L. et al. The weight distributions of a class of non-primitive cyclic codes with two nonzeros. Sci. China Math. 58, 1285–1296 (2015). https://doi.org/10.1007/s11425-014-4888-x

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  • DOI: https://doi.org/10.1007/s11425-014-4888-x

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