国防科技大学学报2012，Vol.34Issue(2)：18-20,28,4.
关于Tu-Deng函数的一个注记
A note on the Tu-Deng function
摘要
Abstract
In 2009, based on a combinatorial conjecture, Tu and Deng constructed a class of Boolean functions in even variables with optimal algebraic immunity, optimal algebraic degree and good nonlinearity. This class of functions is called, the Tu-Deng function. Based on the same conjecture, they also proposed a class of resilient functions in even variables with suboptimal algebraic immunity, optimal algebraic degree and good nonlinearity. Ry studying the cryptographic properties of the concatenation of two Boolean functions derived from the Tu-Deng function, based on Tu-Dengs conjecture, a class of resilient Boolean functions in odd variables is proposed. This class of functions has suboptimal algebraic immunity, optimal algebraic degree and good nonlinearity.关键词
流密码/布尔函数/代数免疫度/非线性度/弹性函数Key words
stream cipher/ Boolean function/ algebraic immunity/ nonlinearity/ resiliency分类
信息技术与安全科学引用本文复制引用
杜育松,张方国..关于Tu-Deng函数的一个注记[J].国防科技大学学报,2012,34(2):18-20,28,4.基金项目
国家自然科学基金资助项目(61070168,10971246,61003244,60803135) （61070168,10971246,61003244,60803135）
网络安全与密码技术福建省高校重点实验室开放课题资助项目(2011008) （2011008）
