Generalized binary recurrent quasi-cyclic matrices

被引：0
|
作者：
Kilic, E. [1 ]
Ulutas, Y. T. [2 ]
Akkus, I. [3 ]
Omur, N. [2 ]
机构：
[1] TOBB Univ Econ & Technol, Math Dept, Ankara, Turkey
[2] Kocaeli Univ, Math Dept, Izmit, Turkey
[3] Kirikkale Univ, Fac Arts & Sci, Dept Math, Yahsihan, Kirikkale, Turkey
来源：
ANNALES MATHEMATICAE ET INFORMATICAE | 2014年 / 43卷
关键词：
Quasi-cyclic matrices; binary linear recurrences; Pell equation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain solutions to infinite family of Pell equations of higher degree based on the more generalized Fibonacci and Lucas sequences as well as their all subsequences of the form {u(kn)} and {v(kn)} for odd k > 0.
引用
收藏
页码：103 / 112
页数：10
相关论文
共 50 条
  • [21] Array Dispersions of Matrices and Constructions of Quasi-Cyclic LDPC Codes Over Non-Binary Fields
    Zhou, Bo
    Zhang, Li
    Kang, Jingyu
    Huang, Qin
    Lin, Shu
    Abdel-Ghaffar, Khaled
    [J]. 2008 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-6, 2008, : 1158 - 1162
  • [22] Generator Polynomial Matrices of Reversed and Reversible Quasi-Cyclic Codes
    ElDin, Ramy Taki
    Matsui, Hajime
    [J]. PROCEEDINGS OF 2020 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS (ISITA2020), 2020, : 165 - 169
  • [23] Constructions of Quasi-Cyclic Measurement Matrices Based on Array Codes
    Liu, Xin-Ji
    Xia, Shu-Tao
    [J]. 2013 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2013, : 479 - 483
  • [24] A (105,10,47)-BINARY QUASI-CYCLIC CODE
    GULLIVER, TA
    BHARGAVA, VK
    [J]. APPLIED MATHEMATICS LETTERS, 1995, 8 (04) : 67 - 70
  • [25] New binary one-generator quasi-cyclic codes
    Daskalov, R
    Hristov, P
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (11) : 3001 - 3005
  • [26] Non-Binary Quasi-Cyclic Quantum LDPC Codes
    Kasai, Kenta
    Hagiwara, Manabu
    Imai, Hideki
    Sakaniwa, Kohichi
    [J]. 2011 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2011, : 653 - 657
  • [27] New binary and ternary quasi-cyclic codes with good properties
    Akre, Dev
    Aydin, Nuh
    Harrington, Matthew J.
    Pandey, Saurav R.
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (02):
  • [28] New binary and ternary quasi-cyclic codes with good properties
    Dev Akre
    Nuh Aydin
    Matthew J. Harrington
    Saurav R. Pandey
    [J]. Computational and Applied Mathematics, 2023, 42
  • [29] Quasi-cyclic generalized LDPC codes with low error floors
    Liva, Gianluigi
    Ryan, William E.
    Chiani, Marco
    [J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2008, 56 (01) : 49 - 57
  • [30] Generalized quasi-cyclic codes: structural properties and code construction
    Esmaeili, M.
    Yari, S.
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2009, 20 (02) : 159 - 173
12345