کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5771594 | 1630358 | 2017 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The dimension and minimum distance of two classes of primitive BCH codes
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The dimension and minimum distance of two classes of primitive BCH codes The dimension and minimum distance of two classes of primitive BCH codes](/preview/png/5771594.png)
چکیده انگلیسی
Cyclic Reed-Solomon codes, a type of BCH codes, are widely used in consumer electronics, communication systems, and data storage devices. This fact demonstrates the importance of BCH codes - a family of cyclic codes - in practice. In theory, BCH codes are among the best cyclic codes in terms of their error-correcting capability. A subclass of BCH codes are the narrow-sense primitive BCH codes. However, the dimension and minimum distance of these codes are not known in general. The objective of this paper is to determine the dimension and minimum distances of two classes of narrow-sense primitive BCH codes with designed distances δ=(qâ1)qmâ1â1âqâ(mâ1)/2â and δ=(qâ1)qmâ1â1âqâ(m+1)/2â. The weight distributions of some of these BCH codes are also reported. As will be seen, the two classes of BCH codes are sometimes optimal and sometimes among the best linear codes known.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 45, May 2017, Pages 237-263
Journal: Finite Fields and Their Applications - Volume 45, May 2017, Pages 237-263
نویسندگان
Cunsheng Ding, Cuiling Fan, Zhengchun Zhou,