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All Journal InPrime: Indonesian Journal Of Pure And Applied Mathematics
P Chella Pandian
Department of Mathematics, Srimad Andavan Arts and Science College(A), Tiruchirappalli-620005, Tamil Nadu
Computer Science & IT Mathematics

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On Codes Over R and its Bounds of Some kind of Block Repetition Codes in R P Chella Pandian
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 4, No 2 (2022)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v4i2.27239

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 R 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. Abstrak Korespondensi 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 R. 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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