计算机工程2011，Vol.37Issue(6)：124-126,3.DOI:10.3969/j.issn.1000-3428.2011.06.043
具有高代数免疫阶的弹性布尔函数构造
Construction of Resilient Boolean Function with High Algebraic Immunity Order
摘要
Abstract
This paper proposes a construction method for second-order concatenation. By choosing the proper parameter s, the degree and algebraic immunity are increased by one when two variables are added. It increases the nonlinearity effectively while holding the resiliency of the Boolean function. Based on the method, a class of functions with optimal algebraic immunity is constructed with better nonlinearity, and a class of function with at least suboptimal algebraic immunity is derived which has one-order of resiliency and good nonlinearity. The recursive method is used for constructing the cryptographic good Boolean functions.关键词
代数攻击/代数免疫/二阶级联/非线性度/弹性/布尔函数Key words
algebraic attack/ algebraic immunity/ second-order concatenation/ nonlinearity/ resiliency/ Boolean function分类
信息技术与安全科学引用本文复制引用
董新锋,宋云芬,张文政,谯通旭..具有高代数免疫阶的弹性布尔函数构造[J].计算机工程,2011,37(6):124-126,3.基金项目
国家部委基金资助项目 （）
