InPrime: Indonesian Journal Of Pure And Applied Mathematics
Vol 4, No 2 (2022)

On Codes Over R and its Bounds of Some Kind of Block Repetition Codes in R

Pandian, P Chella (Unknown)



Article Info

Publish Date
04 Nov 2022

Abstract

This correspondence determines the lower and upper bounds of the covering radius in some kind of block repetition codes over the finite ring R=Z_2 Z_*, where Z_*=Z_2+vZ_2+v^2 Z_2, v^3=v. For covering radii of binary and octonary block repetition code over  is also discussed. This leads to the convenient formulation of code and arrives at the bounds.Keywords: block repetition codes; covering radius; different weight; finite ring. AbstrakKorespondensi ini menentukan batas bawah dan batas atas dari jari-jari penutup suatu kode blok perulangan pada gelanggang hingga R=Z_2 Z_*, dengan Z_*=Z_2+vZ_2+v^2 Z_2, v^3=v. Dibahas juga jari-jari kode blok perulangan biner dan oktonari atas . Diperoleh rumus untuk kode dan batasnya.Kata Kunci: kode blok perulangan; penutup jari-jari;  berat yang berbeda; gelanggang hingga. 2020MSC: 11T71, 94B05, 11H71.

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Journal Info

Abbrev

inprime

Publisher

Subject

Computer Science & IT Mathematics

Description

InPrime: Indonesian Journal of Pure and Applied Mathematics is a peer-reviewed journal and published on-line two times a year in the areas of mathematics, computer science/informatics, and statistics. The journal stresses mathematics articles devoted to unsolved problems and open questions arising ...