Title of article
Computation of Minimum Hamming Weight for Linear Codes
Author/Authors
Rostami, Esmaeil Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman, Kerman, Iran , Nekooei, Reza Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman, Kerman, Iran
Pages
13
From page
81
To page
93
Abstract
In this paper, we consider the minimum Hamming weight
for linear codes over special finite quasi-Frobenius rings. Furthermore,
we obtain minimal free R-submodules of a finite quasi-Frobenius ring R
which contain a linear code and derive the relation between their minimum
Hamming weights. Finally, we suggest an algorithm that computes
this weight using the Grobner basis and we show that under certain conditions
a linear code takes the maximum of minimum Hamming weight.
Keywords
SPAP-ring , Grobner basis , quasi-Frobenius ring , Linear code , Algebraic coding theory
Serial Year
2019
Record number
2494769
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