通信学报2017，Vol.38Issue(7)：47-55,9.DOI:10.11959/j.issn.1000-436x.2017140
8元多输出旋转对称弹性函数的构造与计数
Construction and count of multi-output rotation symmetric resilient functions with 8 input variables
摘要
Abstract
The value ranges of the number of output variables were determined respectively under the existence of mul-ti-output rotation symmetric balanced functions and resilient functions with 2rinput variables. Based on the equivalence between the resilient functions and large sets of orthogonal arrays, some results on the construction and count of mul-ti-output rotation symmetric balanced functions with 8 input variables were presented according to the different dimen-sions of output vectors, and construction and count of multi-output rotation symmetric 1-resilient functions with 8 input variables were also studied. Besides, constructions of multi-output rotation symmetric resilient functions are transformed into the problem of solving a system of equations.关键词
密码学/旋转对称函数/平衡函数/弹性函数/支撑矩阵Key words
cryptography/rotation symmetric function/balanced function/resilient function/support table分类
信息技术与安全科学引用本文复制引用
杜蛟,尚玉婧,赵金玲,董乐,张恩..8元多输出旋转对称弹性函数的构造与计数[J].通信学报,2017,38(7):47-55,9.基金项目
国家自然科学基金资助项目(No.U1404601, No.11571094, No.61402154, No.U1604156) （No.U1404601, No.11571094, No.61402154, No.U1604156）
河南师范大学博士科研启动基金资助项目(No.5101019170133) The National Natural Science Foundation of China (No.U1404601, No.11571094, No.61402154, No.U1604156), PhD Research Startup Foundation of Henan Normal University (No.5101019170133) （No.5101019170133）
