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An improved method for determining the weight distribution of a family of q-ary cyclic codes

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Abstract

The purpose of this work is to use an already known identity among the weight enumerator polynomials, in order to present an improved method for determining the weight distribution of a family of q-ary reducible cyclic codes, that generalize, in an easier way, the results in Yu and Liu (Des Codes Cryptogr 78:731–745, 2016).

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References

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Acknowledgements

The author want to express his gratitude to the anonymous referees for their valuable comments. Particularly, the author wants to thank to one of the reviewers for his/her almost direct and elegant proof of Theorem 3.

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Authors and Affiliations

  1. Dirección General de Cómputo y de Tecnologías de Información y Comunicación, Universidad Nacional Autónoma de México, 04510, Ciudad de México, Mexico

    Gerardo Vega

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  1. Gerardo Vega
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Correspondence to Gerardo Vega.

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Partially supported by PAPIIT-UNAM IN107515.

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Vega, G. An improved method for determining the weight distribution of a family of q-ary cyclic codes. AAECC 28, 527–533 (2017). https://doi.org/10.1007/s00200-017-0318-y

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  • DOI: https://doi.org/10.1007/s00200-017-0318-y

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