%0 Journal Article
%A Rostami, E.
%A Nekooei, R.
%T Computation of Minimum Hamming Weight for Linear Codes
%J Iranian Journal of Mathematical Sciences and Informatics
%V 14
%N 1
%U http://ijmsi.ir/article-1-944-en.html
%R
%D 2019
%K Algebraic coding theory, Linear codes, Quasi-Frobenius rings, Grobner basis, SPAP-rings,
%X 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.
%> http://ijmsi.ir/article-1-944-en.pdf
%P 81-93
%& 81
%!
%9 Research paper
%L A-10-1272-3
%+ Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman
%G eng
%@ 1735-4463
%[ 2019