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有限域F_(2~n)上的一些置换多项式(英文)

Some New Permutation Polynomials over F_(2~n)
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摘要 给出有限域F2 n上形如f(x)=(x2 k+x+δ)s+x的多项式为置换多项式的几个充分条件. Permutation polynomials have been studied for many years.In this paper that for any positive integers n and k with n > k,fixed an element δ ∈ F2n,some sufficient conditions for polynomialf(x) =(x2k + x + δ)s +x to be a permutation polynomial over the finite field F2n are presented.
出处 《四川师范大学学报(自然科学版)》 CAS 北大核心 2015年第3期337-340,共4页 Journal of Sichuan Normal University(Natural Science)
基金 supported by Sichuan Province Foundation of China(15ZB0350 and 15ZA0337)~~
关键词 有限域 置换多项式 多项式 finite field permutation polynomial polynomial
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参考文献1

  • 1DING CunSheng1, XIANG Qing2, YUAN Jin3 & YUAN PingZhi4 1 Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong, China 2 Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA 3 Department of Computing, Macquarie University, NSW 2109, Australia 4 School of Mathematics, South China Normal University, Guangzhou 510631, China.Explicit classes of permutation polynomials of F_3^(3m)[J].Science China Mathematics,2009,52(4):639-647. 被引量:8

二级参考文献9

  • 1Guobiao Weng,Weisheng Qiu,Zeying Wang,Qing Xiang.Pseudo-Paley graphs and skew Hadamard difference sets from presemifields[J]. Designs, Codes and Cryptography . 2007 (1-3)
  • 2Cohen S D.Permutation group theory and permutation polynomials. Algebras and Combinatorics . 1999
  • 3Laigle-Chapuy Y.Permutation polynomials and applications to coding theory. Finite Fields and Their Applications . 2007
  • 4Mullen G L.Permutation polynomials over finite fields. Proc Conf Finite Fields and Their Applications . 1993
  • 5Sun Q,Wan D.Permutation Polynomials and Their Applications. . 1987
  • 6Coulter R,Henderson M.Commutative presemifields and semifields. Advances in Mathematics . 2008
  • 7Lidl R,Niederreiter N.Finite Fields. Encyclopedia of Mathematics and Its Applications . 1997
  • 8Ding,CS,Yuan,J.A family of skew Hadamard difference set. Journal of Combinatorial Theory Series A . 2006
  • 9Menichetti,G.On a Kaplansky conjecture concerning three-dimensional division algebras over a finite field. Journal of Algebra . 1977

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