کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4598829 | 1631107 | 2016 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On cyclotomic cosets and code constructions
ترجمه فارسی عنوان
در چارچوب های چرخه ای و سازه های کد
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
New properties of q -ary cyclotomic cosets modulo n=qm−1n=qm−1, where q≥3q≥3 is a prime power, are investigated in this paper. Based on these properties, the dimension as well as bounds for the designed distance of some families of classical cyclic codes can be computed. As an application, new families of nonbinary Calderbank–Shor–Steane (CSS) quantum codes as well as new families of convolutional codes are constructed in this work. These new CSS codes have parameters better than the ones available in the literature. The convolutional codes constructed here have free distance greater than the ones available in the literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 488, 1 January 2016, Pages 302–319
Journal: Linear Algebra and its Applications - Volume 488, 1 January 2016, Pages 302–319
نویسندگان
Giuliano G. La Guardia, Marcelo M.S. Alves,