کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582780 1630372 2015 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Repeated root cyclic FqFq-linear codes over FqlFql
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Repeated root cyclic FqFq-linear codes over FqlFql
چکیده انگلیسی

Let FqFq be a finite field of cardinality q, where q is a power of a prime number p, n a positive multiple of p, l   a prime number and FqlFql an extension field of FqFq with degree l  . First, the structure and a canonical form decomposition of any cyclic FqFq-linear code over FplFpl of length n   are presented. Then from this decomposition and by the theory of linear codes over finite chain rings, enumeration, construction and encoder of these codes are investigated. Furthermore, the dual code of any cyclic FqFq-linear code over FplFpl of length n is studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 31, January 2015, Pages 202–227
نویسندگان
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