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A class of cyclic codes whose duals have five zeros

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Abstract

In this paper, a family of cyclic codes over \({\mathbb {F}}_{p}\) whose duals have five zeros is presented, where p is an odd prime. Furthermore, the weight distribution of these cyclic codes is determined.

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Acknowledgments

The authors are very grateful to the Editor in Chief and the anonymous reviewers for their valuable comments and suggestions that have improved the quality of this paper.

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Correspondence to Yan Liu.

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Communicated by C. Ding.

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Liu, Y., Liu, C. A class of cyclic codes whose duals have five zeros. Des. Codes Cryptogr. 81, 225–238 (2016). https://doi.org/10.1007/s10623-015-0138-7

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  • DOI: https://doi.org/10.1007/s10623-015-0138-7

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