Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CONSTRUCTION FOR SELF-ORTHOGONAL CODES OVER A CERTAIN NON-CHAIN FROBENIUS RING

  • Kim, Boran (Department of Mathematics Education Kyungpook National University)
  • Received : 2021.05.26
  • Accepted : 2021.10.27
  • Published : 2022.01.01
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Abstract

We present construction methods for free self-orthogonal (self-dual or Type II) codes over ℤ4[v]/〈v2 + 2v〉 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.

Keywords

Acknowledgement

Boran Kim is supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT)(NRF2021R1C1C2012517).

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