en تخصصي Special پژوهشي Research paper <p>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 $R$&nbsp;&nbsp;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.</p> Algebraic coding theory, Linear codes, Quasi-Frobenius rings, Grobner basis, SPAP-rings. 81 93 http://ijmsi.ir/browse.php?a_code=A-10-1272-3&slc_lang=en&sid=1 E. Rostami e_rostami@uk.ac.ir 10031947532846007039 10031947532846007039 Yes Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman R. Nekooei 10031947532846007040 10031947532846007040 No Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman