New classes of almost bent and almost perfect nonlinear polynomials

Budaghyan L.; Carlet C.; Pott A.

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New classes of almost bent and almost perfect nonlinear polynomials

机译：新的几乎弯曲和几乎完美的非线性多项式

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摘要

New infinite classes of almost bent and almost perfect nonlinear polynomials are constructed. It is shown that they are affine inequivalent to any sum of a power function and an affine function.

机译：构造了几乎无限且几乎完美的非线性多项式的新无限类。结果表明，它们的仿射不等于幂函数和仿射函数的任何和。

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来源
《IEEE Transactions on Information Theory》 |2006年第3期|p.1141-1152|共12页
作者
Budaghyan L.; Carlet C.; Pott A.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
Boolean functions; affine transforms; cryptography; polynomials; CCZ-equivalence; Carlet-Charpin-Zinoviev equivalence; affine function; almost bent nonlinear polynomial; almost perfect nonlinear polynomial; power function; vectorial Boolean function; Affine equival;

机译：布尔函数;仿射变换;密码学;多项式;CCZ等价;Carlet-Charpin-Zinoviev等价;仿射函数;几乎弯曲的非线性多项式;几乎完美的非线性多项式;幂函数;矢量布尔函数;仿射等价;

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6. Analysis of Polynomial Nonlinearity Based on Measures of Nonlinearity Algorithms [O] . Mahendra Mallick, Xiaoqing Tian 2020

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7. New classes of almost bent and almost perfect nonlinear polynomials [O] . L. Budaghyan, C. Carlet, A. Pott 2006

机译：几乎弯曲和几乎完美的非线性多项式的新课程

New classes of almost bent and almost perfect nonlinear polynomials

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