通信学报2026，Vol.47Issue(5)：293-300,8.DOI:10.11959/j.issn.1000-436x.TXXB260091
旋转对称3-弹性函数的等价刻画
Characterization of 3-resilient rotation symmetric functions
摘要
Abstract
Rotation symmetric Boolean function(RSBF)is widely employed in the design of block cipher S-boxes and hash functions due to their strong cryptographic characteristics.Based on this,two types of equivalent characterizations for rotation symmetric 3-resilient functions were established.By defining the concept of the 3-tuples distribution matrix of rotation symmetric orbits,the necessary and sufficient conditions for a rotation symmetric function were deduced to satisfy the 3-resilience property.Furthermore,combining the intrinsic relations between resilient functions and orthogo-nal arrays,it is shown that the constructions of 3-resilient RSBF are equivalent to solve a system of equations.关键词
旋转对称函数/3-重分布矩阵/正交表/弹性函数/方程组Key words
rotation symmetric function/3-tuples distribution matrix/orthogonal array/resilient function/system of equation分类
信息技术与安全科学引用本文复制引用
张慧,陈晓婷,王宏盼,杜蛟,李功丽,王天银..旋转对称3-弹性函数的等价刻画[J].通信学报,2026,47(5):293-300,8.基金项目
国家自然科学基金资助项目(No.62372157,No.62572221,No.62272208) （No.62372157,No.62572221,No.62272208）
国家重点研发计划基金资助项目(No.2024YFA1013000) （No.2024YFA1013000）
河南省自然科学基金资助项目(No.252300421872) （No.252300421872）
中国博士后科学基金资助项目(No.GZC20252042)The National Natural Science Foundation of China(No.62372157,No.62572221,No.62272208),The National Key Research and Development Program of China(No.2024YFA1013000),Henan Provincial Natural Science Foundation(No.252300421872),The China Postdoctoral Science Foundation(No.GZC20252042) （No.GZC20252042）
