一类不等价于幂映射的无限次型APN函数

2006 IEEE International Symposium on Information Theory Pub Date : 2006-07-09 DOI:10.1109/ISIT.2006.262131

L. Budaghyan, C. Carlet, P. Felke, G. Leander

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引用次数: 65

摘要

我们展示了从F2n到F2n的无限类几乎完全非线性二次多项式(n可被3整除，但不能被9整除)。我们证明了这些函数与任何幂函数是ea -不等价的，并且它们与任何Gold函数是ccz -不等价的。在即将发表的完整论文中，我们还将证明这些函数中至少有一些是ccz -不等价于任何Kasami函数

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An infinite class of quadratic APN functions which are not equivalent to power mappings

We exhibit an infinite class of almost perfect nonlinear quadratic polynomials from F2n to F2n (n ges 12, n divisible by 3 but not by 9). We prove that these functions are EA-inequivalent to any power function and that they are CCZ-inequivalent to any Gold function. In a forthcoming full paper, we shall also prove that at least some of these functions are CCZ-inequivalent to any Kasami function

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2006 IEEE International Symposium on Information Theory

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