论文标题
巡航功能的非线性和高斯总和的重新分配
Non-linearity of the Carlet-Feng function, and repartition of Gauss sums
论文作者
论文摘要
搜索可以承受主要构志攻击的布尔功能至关重要。在2008年，Carlet和Feng研究了具有最佳加密特性的一类功能，但非线性除外，它们给出了良好但不是最佳结合的功能。车队和一些也在这种非线性问题上工作的人要求解决此问题的新答案。我们提供了一种新的解决方案，以通过估计高斯总和的分布来改善巡航函数非线性的评估。这项工作正在进行中，我们提出了一些建议以改善这项工作。
The search for Boolean functions that can withstand the main crypyographic attacks is essential. In 2008, Carlet and Feng studied a class of functions which have optimal cryptographic properties with the exception of nonlinearity for which they give a good but not optimal bound. Carlet and some people who have also worked on this problem of nonlinearity have asked for a new answer to this problem. We provide a new solution to improve the evaluation of the nonlinearity of the Carlet-Feng function, by means of the estimation of the distribution of Gauss sums. This work is in progress and we give some suggestions to improve this work.
