On the Existence for Some Special Primitive Elements in Finite Fields

被引：0
|
作者：
Qunying LIAO
Jiyou LI
Keli PU
机构：
[1] College of Mathematics and Software Science, Sichuan Normal University
[2] Department of Mathematics, Shanghai Jiao Tong University
[3] Department of Mathematics and Finance Economics,Aba Teachers College
来源：
ChineseAnnalsofMathematics(SeriesB) | 2016年 / 37卷 / 02期
基金：
中国国家自然科学基金; 上海市自然科学基金;
关键词：
Finite field; Primitive element; Normal basis;
D O I：
暂无
中图分类号：
O153.4 [域论];
学科分类号：
070104 ;
摘要：
Let Fq be a finite field of characteristic p. In this paper, by using the index sum method the authors obtain a sufficient condition for the existence of a primitive elementα∈ Fqn such that α + α-1is also primitive or α + α-1is primitive and α is a normal element of Fqn over Fq.
引用
收藏
页码：259 / 266
页数：8
相关论文
共 50 条
  • [1] On the existence for some special primitive elements in finite fields
    Qunying Liao
    Jiyou Li
    Keli Pu
    Chinese Annals of Mathematics, Series B, 2016, 37 : 259 - 266
  • [2] On the Existence for Some Special Primitive Elements in Finite Fields
    Liao, Qunying
    Li, Jiyou
    Pu, Keli
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2016, 37 (02) : 259 - 266
  • [3] Existence of some special primitive normal elements over finite fields
    Anju
    Sharma, R. K.
    FINITE FIELDS AND THEIR APPLICATIONS, 2017, 46 : 280 - 303
  • [4] Existence of primitive 1-normal elements in finite fields
    Reis, Lucas
    Thomson, David
    FINITE FIELDS AND THEIR APPLICATIONS, 2018, 51 : 238 - 269
  • [5] On the Existence of Pairs of Primitive and Normal Elements Over Finite Fields
    Carvalho, Cicero
    Guardieiro, Joao Paulo
    Neumann, Victor G. L.
    Tizziotti, Guilherme
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2022, 53 (03): : 677 - 699
  • [6] On the existence of pairs of primitive normal elements over finite fields
    Rani, Mamta
    Sharma, Avnish K.
    Tiwari, Sharwan K.
    Gupta, Indivar
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2022, 16 (02): : 1032 - 1049
  • [7] Existence of primitive 2-normal elements in finite fields
    Aguirre, Josimar J. R.
    Neumann, Victor G. L.
    FINITE FIELDS AND THEIR APPLICATIONS, 2021, 73
  • [8] On the existence of pairs of primitive normal elements over finite fields
    Mamta Rani
    Avnish K. Sharma
    Sharwan K. Tiwari
    Indivar Gupta
    São Paulo Journal of Mathematical Sciences, 2022, 16 : 1032 - 1049
  • [9] On the Existence of Pairs of Primitive and Normal Elements Over Finite Fields
    Cícero Carvalho
    João Paulo Guardieiro
    Victor G. L. Neumann
    Guilherme Tizziotti
    Bulletin of the Brazilian Mathematical Society, New Series, 2022, 53 : 677 - 699
  • [10] Existence of pair of primitive elements over finite fields of characteristic 2
    Sharma, Rajendra K.
    Awasthi, Ambrish
    Gupta, Anju
    JOURNAL OF NUMBER THEORY, 2018, 193 : 386 - 394
12345