Permutation trinomials over F2m

Danyao Wu; Pingzhi Yuan; Cunsheng Ding; Yuzhen Ma

doi:10.1016/j.ffa.2017.03.002

Permutation trinomials over F_2^m

Danyao Wu, Pingzhi Yuan^*, Cunsheng Ding, Yuzhen Ma

^*Corresponding author for this work

Department of Computer Science and Engineering

Research output: Contribution to journal › Journal Article › peer-review

55 Citations (Scopus)

Abstract

Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation trinomials over F_2^min Zieve's paper [30]. We prove a conjecture proposed by Gupta and Sharma in [8] and obtain some new permutation trinomials over F_2^m. Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials.

Original language	English
Pages (from-to)	38-56
Number of pages	19
Journal	Finite Fields and their Applications
Volume	46
DOIs	https://doi.org/10.1016/j.ffa.2017.03.002
Publication status	Published - 1 Jul 2017

Bibliographical note

Publisher Copyright:
© 2017

Keywords

Permutation polynomials
Polynomials

Access to Document

10.1016/j.ffa.2017.03.002

Cite this

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title = "Permutation trinomials over F2m",

abstract = "Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation trinomials over F2min Zieve's paper [30]. We prove a conjecture proposed by Gupta and Sharma in [8] and obtain some new permutation trinomials over F2m. Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials.",

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AU - Wu, Danyao

AU - Yuan, Pingzhi

AU - Ding, Cunsheng

AU - Ma, Yuzhen

PY - 2017/7/1

Y1 - 2017/7/1

N2 - Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation trinomials over F2min Zieve's paper [30]. We prove a conjecture proposed by Gupta and Sharma in [8] and obtain some new permutation trinomials over F2m. Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials.

AB - Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation trinomials over F2min Zieve's paper [30]. We prove a conjecture proposed by Gupta and Sharma in [8] and obtain some new permutation trinomials over F2m. Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials.

KW - Permutation polynomials

KW - Polynomials

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UR - https://www.scopus.com/pages/publications/85015968465

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JF - Finite Fields and their Applications

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