CONSTRUCTION FOR SELF-ORTHOGONAL CODES OVER A CERTAIN NON-CHAIN FROBENIUS RING

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Abstract

We present construction methods for free self-orthogonal (self-dual or Type II) codes over Z4[v]=hv2 + 2vi which is one of the finite commutative local non-chain Frobenius rings of order 16. By considering their Gray images on Z4, we give a construct method for a code over Z4. We have some new and optimal codes over Z4 with respect to the minimum Lee weight or minimum Euclidean weight.

Original languageEnglish
Pages (from-to)193-204
Number of pages12
JournalJournal of the Korean Mathematical Society
Volume59
Issue number1
DOIs
StatePublished - 2022

Keywords

  • Code over Z4
  • Frobenius ring
  • Non-chain ring
  • Optimal code
  • Self-orthogonal code

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