国防科技大学学报2012,Vol.34Issue(4):85-89,5.
偶变元MAI旋转对称布尔函数
Rotation symmetric Boolean functions in even-variable with maximum algebraic immunity
摘要
Abstract
Algebraic immunity has been considered as one of significant properties for Boolean functions. Two constructions of rotation symmetric Boolean functions (RSBFs) in even-variable with maximum algebraic immunity( MAI) were proposed. Furthermore, the nonlinearity of constructed RSBFs were investigated under special cases of Construction 2. When n≥18 , the constructed MAI RSBFs by using Construction 3 have higher nonlinearity than that of all known MAI RSBFs in even-variable.关键词
布尔函数/旋转对称对布尔函数/代数免疫度/非线性度Key words
Boolean functions/ rotation symmetric Boolean functions/ algebraic immunity / nonlinearity分类
信息技术与安全科学引用本文复制引用
董德帅,李超,屈龙江,付绍静..偶变元MAI旋转对称布尔函数[J].国防科技大学学报,2012,34(4):85-89,5.基金项目
国家自然科学基金资助项目(61070215,61103192) (61070215,61103192)