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The weight enumerator of the duals of a class of cyclic codes with three zeros

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Abstract

Cyclic codes and their dual codes have been an interesting subject studied for many years. However, their weight distributions are known for a few special cases only. In this paper, we determine the weight distributions for the duals of a class of reducible cyclic codes with three zeros.

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Acknowledgments

The work of Zheng-An Yao is partially supported by the NNSFC (Grant No. 11271381), the NNSFC (Grant No. 11431015) and China 973 Program (Grant No. 2011CB808000). The work of Chang-An Zhao is partially supported by the NNSFC (Grant No. 61472457).

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Authors and Affiliations

  1. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, People’s Republic of China

    Shudi Yang, Zheng-An Yao & Chang-An Zhao

  2. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, People’s Republic of China

    Shudi Yang

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  1. Shudi Yang
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  2. Zheng-An Yao
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  3. Chang-An Zhao
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Correspondence to Shudi Yang.

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Yang, S., Yao, ZA. & Zhao, CA. The weight enumerator of the duals of a class of cyclic codes with three zeros. AAECC 26, 347–367 (2015). https://doi.org/10.1007/s00200-015-0255-6

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  • DOI: https://doi.org/10.1007/s00200-015-0255-6

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