Five-valued Boolean functions play an important role in the design of symmetric cryptography.While the design and properties of single-output almost optimal five-valued spectra Boolean functions have been extensively ...Five-valued Boolean functions play an important role in the design of symmetric cryptography.While the design and properties of single-output almost optimal five-valued spectra Boolean functions have been extensively studied over the past few decades,there has been limited research on the construction of almost optimal five-valued spectra vectorial Boolean functions.In this paper,we present a construction method for even-variable 2-output almost optimal five-valued spectra balanced Boolean functions,whose Walsh spectra values belong to the set{0,±2^(n/2),±2^(n/2+1)},at the same time,we discuss the existence of sufficient conditions in the construction.Additionally,this paper presents a novel construction method for balanced single-output Boolean functions with even variables featuring a special five-valued spectral structure,whose Walsh spectra values are constrained to the set{0,±2^(n/2),±3·2^(n/2)}.These functions provide new canonical examples for the study of Boolean function spectral theory.展开更多
低延迟分组密码的设计是目前密码学研究中的热点之一,其中低延迟S盒的构造是设计中的重要研究方向.本文基于低延迟门电路和两层树型结构,搜索不同延迟水平下具有一定密码学性质的低延迟平衡布尔函数及其拓展比特置换等价类;基于将低延...低延迟分组密码的设计是目前密码学研究中的热点之一,其中低延迟S盒的构造是设计中的重要研究方向.本文基于低延迟门电路和两层树型结构,搜索不同延迟水平下具有一定密码学性质的低延迟平衡布尔函数及其拓展比特置换等价类;基于将低延迟布尔函数作为分量布尔函数构造向量布尔函数的方法,本文构造得到了不同延迟水平下的低延迟S盒,并给出延迟性质和硬件实现面积具有优势的S盒实例;此外,本文对低延迟的S盒集合与逆S盒集合匹配搜索具有双向低延迟性质的S盒,给出搜索得到的实例.与PRINCE、MANTIS等其他低延迟分组密码中使用的4 bit S盒相比,本文构造的低延迟S盒在延迟水平上相较MANTIS降低了20%,与PRINCE相比降低了33%,在硬件实现面积上相较MANTIS减少了6.68%,与PRINCE相比减少了17.69%.展开更多
基金National Natural Science Foundation of China(62272360)。
文摘Five-valued Boolean functions play an important role in the design of symmetric cryptography.While the design and properties of single-output almost optimal five-valued spectra Boolean functions have been extensively studied over the past few decades,there has been limited research on the construction of almost optimal five-valued spectra vectorial Boolean functions.In this paper,we present a construction method for even-variable 2-output almost optimal five-valued spectra balanced Boolean functions,whose Walsh spectra values belong to the set{0,±2^(n/2),±2^(n/2+1)},at the same time,we discuss the existence of sufficient conditions in the construction.Additionally,this paper presents a novel construction method for balanced single-output Boolean functions with even variables featuring a special five-valued spectral structure,whose Walsh spectra values are constrained to the set{0,±2^(n/2),±3·2^(n/2)}.These functions provide new canonical examples for the study of Boolean function spectral theory.
文摘低延迟分组密码的设计是目前密码学研究中的热点之一,其中低延迟S盒的构造是设计中的重要研究方向.本文基于低延迟门电路和两层树型结构,搜索不同延迟水平下具有一定密码学性质的低延迟平衡布尔函数及其拓展比特置换等价类;基于将低延迟布尔函数作为分量布尔函数构造向量布尔函数的方法,本文构造得到了不同延迟水平下的低延迟S盒,并给出延迟性质和硬件实现面积具有优势的S盒实例;此外,本文对低延迟的S盒集合与逆S盒集合匹配搜索具有双向低延迟性质的S盒,给出搜索得到的实例.与PRINCE、MANTIS等其他低延迟分组密码中使用的4 bit S盒相比,本文构造的低延迟S盒在延迟水平上相较MANTIS降低了20%,与PRINCE相比降低了33%,在硬件实现面积上相较MANTIS减少了6.68%,与PRINCE相比减少了17.69%.
