Abstract This paper studies the construction of resilient Boolean functions in odd variables with strictly almost optimal (SAO) nonlinearity. Based on High-Meets-Low technique, we present a new construction to obtain Boolean functions with higher resiliency order and currently best known nonlinearity. It is shown that this method can achieve a better tradeoff between resiliency and nonlinearity than those of the previous research results.

中文翻译：

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改进 High-Meets-Low 技术以生成具有当前最佳非线性的奇变量弹性布尔函数

摘要 本文研究了具有严格近乎最优（SAO）非线性奇数变量的弹性布尔函数的构造。基于 High-Meets-Low 技术，我们提出了一种新的构造来获得具有更高弹性阶数和目前最著名的非线性的布尔函数。结果表明，与之前的研究结果相比，该方法可以在弹性和非线性之间取得更好的权衡。