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Codes on subgroups of weighted projective tori

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Abstract

We obtain certain algebraic invariants relevant in studying codes on subgroups of weighted projective tori inside an n-dimensional weighted projective space. As application, we compute all the main parameters of generalized toric codes on these subgroups of tori lying inside a weighted projective plane of the form \({\mathbb {P}}(1,1,a)\).

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Acknowledgements

The authors would like to thank two anonymous reviewers for their careful reading and helpful suggestions which improved the presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Hacettepe University, Ankara, Turkey

    Mesut Şahin

  2. Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey

    Oğuz Yayla

Authors
  1. Mesut Şahin
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  2. Oğuz Yayla
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Correspondence to Mesut Şahin.

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Communicated by V. A. Zinoviev

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Şahin, M., Yayla, O. Codes on subgroups of weighted projective tori. Des. Codes Cryptogr. (2023). https://doi.org/10.1007/s10623-023-01337-y

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  • DOI: https://doi.org/10.1007/s10623-023-01337-y

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