The results of numerical analysis show that the novel algorithm could avoid plunging into local optimal value , more effectively and find better balanced boolean functions satisfying high nonlinearity than that of the traditional one 实验分析表明,此算法能够更有效地避免陷入局部极小值,对于获得密码性质好的布尔函数,比单一的模拟退火具有更大优势。
A heuristic hybrid algorithm called chaotic searching simulated annealing is here proposed , which is mixed by chaotic searching and simulated annealing to evolve balanced boolean functions satisfying high nonlinearity 摘要利用混沌动力系统的良好特性,把它引入传统的模拟退火中,提出一种称为混沌搜索模拟退火的新启发式算法,用于设计高度非线性平衡布尔函数。
Principles of logic decomposition of boolean function are introduced in detail . basic models and technologies , of area minimization , depth minimization , depth and area minimization and power minimization , are introduced in detail 详细介绍了布尔函数的逻辑分解的一般分解原理,详细介绍了面积优化、深度优化、面积和深度同时优化以及功率优化的基本模型和技术。
This paper discusses some properties of structure and nonlinearity of boolean functions . it proves the relations among linear dimension , algebraic order and variable number , and gives the nonlinearity formula computed by linear dimension 本文讨论了布尔函数的线性维数与非线性度的有关性质,证明了布尔函数变元个数、代数次数和线性维数之间的关系,给出了由线性维数计算二次布尔函数非线性度的公式
1 . two new approaches to determine the algebraic representation of a boolean function are proposed with their applications on the des and rijndael sboxes . 2 . based on the theory of walsh spectrum , such properties as linearity , strict avalanche , propagation and correlation immunity are analysed 2 、利用walsh谱理论分析rijndael算法s盒的线性性、非线性性、严格雪崩特性、扩散特性和相关免疫性等密码性质,从理论上揭示其安全性。