Polynomial quotients: Interpolation, value sets and Waring's problem

被引:3
作者
Chen, Zhixiong [1 ,2 ]
Winterhof, Arne [3 ]
机构
[1] Putian Univ, Prov Key Lab Appl Math, Putian 351100, Fujian, Peoples R China
[2] Putian Univ, Prov Key Lab Appl Math, Putian 351100, Fujian, Peoples R China
[3] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, A-4040 Linz, Austria
基金
中国国家自然科学基金; 奥地利科学基金会;
关键词
polynomial quotients; Fermat quotients; Waring problem; value set; character sums; Cauchy-Davenport theorem; LINEAR COMPLEXITY; FERMAT QUOTIENTS; CHARACTER SUMS; PSEUDORANDOM NUMBERS; DIVISIBILITY;
D O I
10.4064/aa170-2-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:121 / 134
页数:14
相关论文
共 38 条
  • [1] Fermat quotients for composite moduli
    Agoh, T
    Dilcher, K
    Skula, L
    [J]. JOURNAL OF NUMBER THEORY, 1997, 66 (01) : 29 - 50
  • [2] Boolean functions derived from Fermat quotients
    Aly, Hassan
    Winterhof, Arne
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2011, 3 (03): : 165 - 174
  • [3] Bourgain J, 2010, MICH MATH J, V59, P313
  • [4] Burgess D. A., 1963, Proc. Lond. Math. Soc, V13, P524
  • [5] Short character sums with Fermat quotients
    Chang, Mei-Chu
    [J]. ACTA ARITHMETICA, 2012, 152 (01) : 23 - 38
  • [6] On the k-error linear complexity of binary sequences derived from polynomial quotients
    Chen ZhiXiong
    Niu ZhiHua
    Wu ChenHuang
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2015, 58 (09) : 1 - 15
  • [7] Trace representation and linear complexity of binary sequences derived from Fermat quotients
    Chen ZhiXiong
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2014, 57 (11) : 1 - 10
  • [8] Additive character sums of polynomial quotients
    Chen, Zhixiong
    Winterhof, Arne
    [J]. THEORY AND APPLICATIONS OF FINITE FIELDS, 2012, 579 : 67 - +
  • [9] INTERPOLATION OF FERMAT QUOTIENTS
    Chen, Zhixiong
    Winterhof, Arne
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2014, 28 (01) : 1 - 7
  • [10] On the linear complexity of binary threshold sequences derived from Fermat quotients
    Chen, Zhixiong
    Du, Xiaoni
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2013, 67 (03) : 317 - 323