31 خرداد 1403
رشيد رضايي

رشید رضایی

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی محض
تلفن:
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
On codes over product of finite chain rings
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
MDS Codes; Self-Dual Codes; Chain Rings
سال
2023
مجله Sigma Journal of Engineering and Natural Sciences
پژوهشگران رشید رضایی

چکیده

In this paper, codes over the direct product of two finite commutative chain rings are studied. The standard form of the parity-check matrix is determined. The structure of self-dual codes is described. A distance preserving Gray map from the direct product of chain rings to a finite field is defined. Two upper bounds on minimum distance are obtained.