Explicit Determinants of the k-Fibonacci and k-Lucas RSFPLR Circulant Matrix in Codes

被引：0
|
作者：
Jiang, Xiao-Yu [1 ]
Hong, Kicheon [1 ]
机构：
[1] Univ Suwon, Dept Informat & Telecommun Engn, Hwaseong Si 445743, Gyeonggi Do, South Korea
来源：
INFORMATION COMPUTING AND APPLICATIONS, ICICA 2013, PT I | 2013年 / 391卷
关键词：
Determinant; k-Fibonacci number; k-Lucas number; RSFPLR circulant matrix; RSLPFL circulant matrix; Codes;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A be a row skew first-plus-last right circulant matrix in codes and C be a row skew last-plus-first left circulant matrix whose first row are (F-k,F-1, F-k,F-2, ... , F-k,F-n) and (L-k,L-1, L-k,L-2, ... , L-k,L-n) respectively, Where {F-k,F-n} is the k-Fibonacci number and {L-k,L-n} is the k -Lucas number. In this paper, by using the inverse factorization of polynomial of degree n, the explicit determinants of matrices A and C are expressed by utilizing the k -Fibonacci and k -Lucas numbers.
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页码：625 / 637
页数：13
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