On Z<inf>p<sup>r</sup></inf>Z<inf>p<sup>s</sup></inf>-additive cyclic codes

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Abstract

© 2018 AIMS. A Zpr Zps -additive code, r ≤ s, is a Zps-submodule of (Formula presented) We introduce Zpr Zps -additive cyclic codes. These codes can be seen as (Formula presented)- submodules of (Formula presented). We determine the generator polynomials of a code over (Formula presented) and a minimal spanning set over (Formula presented) in terms of the generator polynomials. We also study the duality in the module (Formula presented). Our results generalise those for Z2Z4 -additive cyclic codes.
Original languageEnglish
Pages (from-to)169-179
JournalAdvances in Mathematics of Communications
Volume12
Issue number1
DOIs
Publication statusPublished - 1 Feb 2018

Keywords

  • Additive codes
  • Codes over rings
  • Cyclic codes
  • Duality

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