On Codes Over Mixed Finite Ring ℤ₂ℤ₄ and its Related Parameter

Authors

  • P. Chella Pandian Department of Mathematics, Vivekananda College(Autonomous), Tiruvedakam west-625 234, Madurai, Tamilnadu, India

DOI:

https://doi.org/10.3126/jnms.v8i1.80230

Keywords:

Finite ring, Covering radius, Repetition codes, Lee, Generalized Lee, Chinese Euclidean weights

Abstract

In this paper, we have to find out the lower bound and upper bound of some class codes in the finite ring  ℝ = ℤ₂ + u ℤ₂ + u² ℤ₂ where u³ = 0, with Gray Mapping ℝ → ℤ₂ ℤ₄ with respect to different weight by using covering radius. Also, the covering radius of various lengths and different lengths of the Block Repetition Codes in the finite ring ℝ is determined.

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Published

2025-06-24

How to Cite

Pandian , P. C. (2025). On Codes Over Mixed Finite Ring ℤ₂ℤ₄ and its Related Parameter. Journal of Nepal Mathematical Society, 8(1), 12–18. https://doi.org/10.3126/jnms.v8i1.80230

Issue

Vol. 8 No. 1 (2025)

Section

Articles

License

© Nepal Mathematical Society