Researches on polynomial transformation over residue classes ring modulo 2n

doi:10.3778/j.issn.1002-8331.2008.33.019

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (33): 60-61.DOI: 10.3778/j.issn.1002-8331.2008.33.019

• 理论研究 • Previous Articles Next Articles

Researches on polynomial transformation over residue classes ring modulo 2ⁿ

WANG Nian-ping¹,GONG Xiu-hua²

1.Institute of Electronic Technology，the PLA Information Engineering University，Zhengzhou 450004，China
2.Xinhu Middle School of Dongping County，Dongping，Shandong 271506，China

Received:2007-12-18 Revised:2008-03-12 Online:2008-11-21 Published:2008-11-21
Contact: WANG Nian-ping

模2ⁿ剩余类环上的多项式变换的研究

王念平¹,宫秀华²

1.解放军信息工程大学电子技术学院，郑州 450004
2.山东省东平县新湖中学，山东东平 271506

通讯作者: 王念平

Abstract

Abstract: Polynomial transformation over residue classes ring modulo 2ⁿ is researched deeply in this paper.Let f be a polynomial transformation over residue classes ring modulo 2ⁿ of degree m，a sufficiency and necessity condition such that f is a permutation is given.Upper bounds for the number of permutation polynomials over residue classes ring modulo 2ⁿ of degree m is also given.

摘要： 对模2ⁿ剩余类环上的多项式变换进行了详细的研究和分析。给出了模2ⁿ剩余类环上的m（m≥1）次多项式变换是置换的一个充分必要条件；给出了模2ⁿ剩余类环上的m（m≥1）次置换多项式个数的一个上界。

WANG Nian-ping¹,GONG Xiu-hua². Researches on polynomial transformation over residue classes ring modulo 2ⁿ[J]. Computer Engineering and Applications, 2008, 44(33): 60-61.

王念平¹,宫秀华². 模2ⁿ剩余类环上的多项式变换的研究[J]. 计算机工程与应用, 2008, 44(33): 60-61.

Researches on polynomial transformation over residue classes ring modulo 2ⁿ

模2ⁿ剩余类环上的多项式变换的研究

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