New permutation trinomials from Niho exponents over finite fields with even characteristic

Li Nian; Helleseth Tor

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New permutation trinomials from Niho exponents over finite fields with even characteristic

机译：甚至特征的UIHO指数来自Niho指数的新置换三项主义

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摘要

In this paper, a class of permutation trinomials of Niho type over finite fields with even characteristic is further investigated. New permutation trinomials from Niho exponents are obtained from linear fractional polynomials over finite fields, and it is shown that the presented results are the generalizations of some earlier works.

机译：在本文中，进一步研究了甚至特征的有限田的Niho型的一类置换三语。从有限领域的线性分数多项式获得来自Niho指数的新置换三人，并且示出了所提出的结果是一些早期作品的概括。

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来源
《Cryptography and Communications》 |2019年第1期|129-136|共8页
作者
Li Nian; Helleseth Tor;
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作者单位

Hubei Univ Fac Math & Stat Hubei Key Lab Appl Math Wuhan 430062 Hubei Peoples R China;

Univ Bergen Dept Informat Postboks 7803 N-5020 Bergen Norway;

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正文语种 eng
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关键词
Finite field; Niho exponent; Permutation trinomial;

机译：有限场;Niho指数;排列三人;

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专利

1. Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic [J] . Zheng Lijing, Kan Haibin, Peng Jie Finite fields and their applications . 2020,第Deca期

机译：两类排列三人与Niho指数超过有限田，甚至特征
2. New permutation trinomials from Niho exponents over finite fields with even characteristic [J] . Li Nian, Helleseth Tor Cryptography and Communications . 2019,第1期

机译：具有偶数特征的有限域上Niho指数的新置换三项式
3. Several classes of permutation trinomials from Niho exponents over finite fields of characteristic [J] . Liu Qian, Sun Yujuan Journal of algebra and its applications . 2019,第4期

机译：来自NIHO指数的几类置换三人，在有限的特征领域
4. Redundant Trinomials for Finite Fields of Characteristic 2 [C] . Christophe Doche Australasian Conference on Information Security and Privacy(ACISP 2005); 20050704-06; Brisbane(AU) . 2005

机译：特征2的有限域的冗余三项式
5. A Study of Permutation Polynomials over Finite Fields. [D] . Fernando, Neranga. 2013

机译：关于有限域的置换多项式的研究。
6. ON THE PROPERTIES OF CERTAIN TRINOMIAL EQUATIONS IN A FINITE FIELD [O] . H. S. Vandiver 1955

机译：有限域中某些三项方程的性质
7. New Permutation Trinomials From Niho Exponents over Finite Fields with Even Characteristic [O] . Li, Nian, Helleseth, Tor 2016

机译：Niho指数在有限域上的新插值三项式甚至特征

New permutation trinomials from Niho exponents over finite fields with even characteristic

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