کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582897 | 1630380 | 2013 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cyclic codes from cyclotomic sequences of order four
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Cyclic codes are a subclass of linear codes and have a lot of applications in consumer electronics, data transmission technologies, broadcast systems, and computer applications as they have efficient encoding and decoding algorithms. In this paper, three cyclotomic sequences of order four are employed to construct a number of classes of cyclic codes over GF(q)GF(q) with prime length. Under certain conditions lower bounds on the minimum weight are developed. Some of the codes obtained are optimal or almost optimal. In general, the codes constructed in this paper are very good. Some of the cyclic codes obtained in this paper are closely related to almost difference sets and difference sets.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 23, September 2013, Pages 8–34
Journal: Finite Fields and Their Applications - Volume 23, September 2013, Pages 8–34
نویسندگان
Cunsheng Ding,