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On Isodual Cyclic Codes over Finite Chain Rings

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Codes, Cryptology and Information Security (C2SI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 10194))

Abstract

In this work, cyclic isodual codes over finite chain rings are investigated. These codes are monomially equivalent to their duals. Existence results for cyclic isodual codes are given based on the generator polynomials, the field characteristic, and the length. Several constructions of isodual and self-dual codes are also presented.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Science and Technology, 16111, Algiers, Algeria

    Aicha Batoul & Kenza Guenda

  2. Department of Electrical and Computer Engineering, University of Victoria, Victoria, British Columbia, V8W 2Y2, Canada

    T. Aaron Gulliver

  3. Department of Mathematics and Statistics, Kenyon College, Gambier, Ohio, 43022, USA

    Nuh Aydin

Authors
  1. Aicha Batoul
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  2. Kenza Guenda
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  3. T. Aaron Gulliver
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  4. Nuh Aydin
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Corresponding author

Correspondence to Aicha Batoul .

Editor information

Editors and Affiliations

  1. University of Mohammed V, Rabat, Morocco

    Said El Hajji

  2. University of Caen, Caen, France

    Abderrahmane Nitaj

  3. University of Mohammed V, Rabat, Morocco

    El Mamoun Souidi

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Batoul, A., Guenda, K., Gulliver, T.A., Aydin, N. (2017). On Isodual Cyclic Codes over Finite Chain Rings. In: El Hajji, S., Nitaj, A., Souidi, E. (eds) Codes, Cryptology and Information Security. C2SI 2017. Lecture Notes in Computer Science(), vol 10194. Springer, Cham. https://doi.org/10.1007/978-3-319-55589-8_12

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  • DOI: https://doi.org/10.1007/978-3-319-55589-8_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-55588-1

  • Online ISBN: 978-3-319-55589-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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