Cyclic codes of length p^n over Z_(p^3 )

Authors

  • MEHDI ALAEIYAN 1Department of mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
  • MOHAMMAD HYRIZADEH Department of mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran

Keywords:

Cyclic codes over, primary analysis, local ring

Abstract

The purpose of this paper is to find a description of the cyclic codes of length --over --, such that is a prime. It is known that cyclic codes of length over are ideals of the ring-----. In this paper we prove that the is a local ring with unique maximal ideal ----. We also prove that cyclic codes of length over are generated as ideals by at most three elements.

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Published

14-12-2015