کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8895631 1630351 2018 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A mass formula for cyclic codes over Galois rings of characteristic p3
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A mass formula for cyclic codes over Galois rings of characteristic p3
چکیده انگلیسی
We completely determine the explicit generators of cyclic codes of length pk(k≥1) over a Galois ring of characteristic p3 by their residue degree, and their two torsional degrees; there are exactly three types of cyclic codes, that is, one-generator, two-generator and three-generator cyclic codes. Using this classification result, we explicitly obtain a mass formula for cyclic codes of length pk over a Galois ring of characteristic p3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 52, July 2018, Pages 214-242
نویسندگان
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