کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582633 1630361 2016 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A characterization of a class of optimal three-weight cyclic codes of dimension 3 over any finite field
ترجمه فارسی عنوان
توصیف یک کلاس کلاسیک سه بعد سه بعدی سه بعدی در مورد هر کدام از محدودیت ها؟
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

It is well known that the problem of determining the weight distributions of families of cyclic codes is, in general, notoriously difficult. An even harder problem is to find characterizations of families of cyclic codes in terms of their weight distributions. On the other hand, it is also well known that cyclic codes with few weights have a great practical importance in coding theory and cryptography. In particular, cyclic codes having three nonzero weights have been studied by several authors, however, most of these efforts focused on cyclic codes over a prime field. In this work we present a characterization of a class of optimal three-weight cyclic codes of dimension 3 over any finite field.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 42, November 2016, Pages 23–38
نویسندگان
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