Integer Sequences and Matrices Over Finite Fields

被引：0
|
作者：
Morrison, Kent E. [1 ]
机构：
[1] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93407 USA
来源：
JOURNAL OF INTEGER SEQUENCES | 2006年 / 9卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this expository article we collect the integer sequences that count several different types of matrices over finite fields and provide references to the Online Encyclopedia of Integer Sequences. Section 1 contains the sequences, their generating functions, and examples. Section 2 contains the proofs of the formulas for the coefficients and the generating functions of those sequences if the proofs are not easily available in the literature. The cycle index for matrices is an essential ingredient in most of the derivations.
引用
收藏
页数：28
相关论文
共 50 条
  • [1] On sequences of Toeplitz matrices over finite fields
    Price, Geoffrey
    Wortham, Myles
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 561 : 63 - 80
  • [2] Integer to integer Karhunen love transform over finite fields
    Karabulut, GZ
    Panario, D
    Yongaçoglu, A
    2004 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL V, PROCEEDINGS: DESIGN AND IMPLEMENTATION OF SIGNAL PROCESSING SYSTEMS INDUSTRY TECHNOLOGY TRACKS MACHINE LEARNING FOR SIGNAL PROCESSING MULTIMEDIA SIGNAL PROCESSING SIGNAL PROCESSING FOR EDUCATION, 2004, : 213 - 216
  • [3] ORTHOGONAL MATRICES OVER FINITE FIELDS
    MACWILLIAMS, J
    AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (02): : 152 - +
  • [4] MATRICES OVER FINITE-FIELDS
    DEOLIVEIRA, G
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1985, 68 (JUL) : 244 - 247
  • [5] Cyclic matrices over finite fields
    Neumann, PM
    Praeger, CE
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1995, 52 : 263 - 284
  • [6] On sequences of Toeplitz matrices over finite fields (vol 561, pg 63, 2019)
    Price, Geoffrey
    Wortham, Myles
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 590 : 330 - 332
  • [7] On interleaved sequences over finite fields
    Jiang, SQ
    Dai, ZD
    Gong, G
    DISCRETE MATHEMATICS, 2002, 252 (1-3) : 161 - 178
  • [8] TRACES OF POWERS OF MATRICES OVER FINITE FIELDS
    Gorodetsky, Ofir
    Rodgers, Brad
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (07) : 4579 - 4638
  • [9] ESTIMATION AND COMPUTATION WITH MATRICES OVER FINITE FIELDS
    Corr, Brian P.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 91 (01) : 175 - 176
  • [10] Central polynomials for matrices over finite fields
    Bresar, Matej
    Drensky, Vesselin
    LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (07): : 939 - 944
12345