On Codes Over Mixed Finite Ring ℤ₂ℤ₄ and its Related Parameter

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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Publication Details

Journal
Journal of Nepal Mathematical Society
Published
2025-06-24
DOI
https://doi.org/10.3126/jnms.v8i1.80230
Primary Topic
Coding theory and cryptography
Type
article
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article

On Codes Over Mixed Finite Ring ℤ₂ℤ₄ and its Related Parameter

P. Chella Pandian
Journal of Nepal Mathematical Society
Coding theory and cryptography
article

On Codes Over Mixed Finite Ring ℤ₂ℤ₄ and its Related Parameter

P. Chella Pandian
article en

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.

Journal of Nepal Mathematical SocietyVol. 8(1)
Swami Vivekanand College of Pharmacy (IN)
Openalex Percentile: Top 93%
Coding theory and cryptography
DOIOpen Access PDFOpenAlex
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On Codes Over Mixed Finite Ring ℤ₂ℤ₄ and its Related Parameter — P. Chella Pandian · Journal of Nepal Mathematical Society (2025) | TGRS Research Map | TGRS