Nets and sequences obtained from irreducible polynomials over finite fields

被引:1
|
作者
Knopfmacher, A [1 ]
Ridley, JN
Mullen, GL
机构
[1] Univ Witwatersrand, Johannesburg, South Africa
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
关键词
finite field; irreducible Polynomial; (t; m; s)-net in base b;
D O I
10.1007/s002000050107
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We prove an elementary result concerning the sum of the degrees of irreducible polynomials over a finite field. This result has application in the construction of (t, m, s)-nets which are useful in numerical integration.
引用
收藏
页码:265 / 269
页数:5
相关论文
共 50 条
  • [1] Nets and Sequences Obtained from Irreducible Polynomials Over Finite Fields
    A. Knopfmacher
    J. N. Ridley
    G. L. Mullen
    Applicable Algebra in Engineering, Communication and Computing, 1998, 9 : 265 - 269
  • [2] Nets and sequences obtained from irreducible polynomials over finite fields
    Univ of the Witwatersrand, Johannesburg, South Africa
    Applicable Algebra in Engineering, Communications and Computing, 1998, 9 (03): : 265 - 269
  • [3] Polynomial distribution and sequences of irreducible polynomials over finite fields
    Chou, WS
    Cohen, SD
    JOURNAL OF NUMBER THEORY, 1999, 75 (01) : 145 - 159
  • [4] CONSTRUCTING IRREDUCIBLE POLYNOMIALS OVER FINITE FIELDS
    Ling, San
    Ozdemir, Enver
    Xing, Chaoping
    MATHEMATICS OF COMPUTATION, 2012, 81 (279) : 1663 - 1668
  • [5] Counting irreducible polynomials over finite fields
    Qichun Wang
    Haibin Kan
    Czechoslovak Mathematical Journal, 2010, 60 : 881 - 886
  • [6] IRREDUCIBLE POLYNOMIALS OVER FINITE-FIELDS
    VONZURGATHEN, J
    LECTURE NOTES IN COMPUTER SCIENCE, 1986, 241 : 252 - 262
  • [7] Irreducible compositions of polynomials over finite fields
    Kyuregyan, Melsik K.
    Kyureghyan, Gohar M.
    DESIGNS CODES AND CRYPTOGRAPHY, 2011, 61 (03) : 301 - 314
  • [8] COUNTING IRREDUCIBLE POLYNOMIALS OVER FINITE FIELDS
    Wang, Qichun
    Kan, Haibin
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2010, 60 (03) : 881 - 886
  • [9] Construction of irreducible polynomials over finite fields
    Sharma, P. L.
    Ashima
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (07)
  • [10] Construction of Irreducible Polynomials over Finite Fields
    Abrahamyan, Sergey
    COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, 2010, 6244 : 1 - 3