期刊文献+

关于有限域的幂剩余性质的几点注记 被引量:1

Some Notes on the Property of Power Residues
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摘要 本文给出了有限域的d次剩余正规基及具有给定迹的d次幂剩余元素的存在性的充分条件. This paper has provided suffient conditions for the existence of a d-th residual normal base in a finite field and d-th residues with an arbitrary foed trace.
作者 王巨平
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 1996年第1期75-77,共3页 JUSTC
基金 国家教委博士点基金
关键词 有限域 幂剩余 正规基 finite field power residue normal base trace
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同被引文献20

  • 1田甜,戚文峰.有限域上互反本原正规元的存在性[J].数学学报(中文版),2006,49(3):657-668. 被引量:9
  • 2Gao Shuhong. Normal bases over finite fields [D]. Waterloo: University of Waterloo, 1993.
  • 3Lidl R, Niederreiter H. Finite fields [M]. Combridge: Combridge University Press, 1987:1-267.
  • 4Cohen S D. Primitive elements and polynomials with abitrary trace [J]. Discrete Math, 1990, 83:1-7.
  • 5Hansen T, Mullen G L. Primitive polynomials over finite fields [J]. Math Comp, 1992, 59(200):639-643.
  • 6Cohen S D. Primitive elements and polynomials: existence results [M]//Lecture Notes in Pure and Applied Mathematics. Vol 141, New York: Marcel Dekker, 1993:43-55.
  • 7Fan S Q, Han W B. Character sums over Galois rings and primitive polynomials over finite fields [J]. Finite Fields and Their Applications, 2004, 10:36-52.
  • 8Fan S Q, Han W B. Primitive polynomial with three coefficients prescribed [J]. Finite Fields and Their Applications, 2004, 10:506-521.
  • 9Cohen S D. Primitive polynomials with a prescribed coefficient [J]. Finite Fields and Their Applications, 2006, 12:425-491.
  • 10Han W B. The coefficients of primitive polynomials over finite fields [J]. Math Comp, 1996, 65(213):331-340.

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