On various parameters of Zq-simplex codes for an even integer q

In this paper, we defined the Zq-linear codes and discussed its various parameters. We constructed Zq-Simplex code and Zq-MacDonald code and found its parameters. We have given a lower and an upper bounds of its covering radius for q is an even integer

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

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