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武警工程大学 电子技术系网络与信息安全武警部队重点实验室,陕西 西安 710086
[ "袁宏博(1989-),男,吉林白山人,武警工程大学硕士生,主要研究方向为序列密码、密码函数。" ]
[ "杨晓元(1959-),男,湖南湘潭人,武警工程大学教授、博士生导师,主要研究方向为密码学、信息安全。" ]
[ "魏立线(1966-),男,陕西户县人,武警工程大学教授,主要研究方向为密码学、信息安全。" ]
[ "刘龙飞(1990-),男,河南沈丘人,武警工程大学讲师,主要研究方向为序列密码、割圆序列。" ]
网络出版日期:2014-11,
纸质出版日期:2014-11-30
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袁宏博, 杨晓元, 魏立线, 等. 全局雪崩准则的刻画及函数构造[J]. 通信学报, 2014,35(Z2):251-255.
Hong-bo YUAN, Xiao-yuan YANG, Li-xian WEI, et al. Description of global avalanche characteristics and constructions of Boolean functions[J]. Journal on communications, 2014, 35(Z2): 251-255.
袁宏博, 杨晓元, 魏立线, 等. 全局雪崩准则的刻画及函数构造[J]. 通信学报, 2014,35(Z2):251-255. DOI: 10.3969/j.issn.1000-436x.2014.z2.035.
Hong-bo YUAN, Xiao-yuan YANG, Li-xian WEI, et al. Description of global avalanche characteristics and constructions of Boolean functions[J]. Journal on communications, 2014, 35(Z2): 251-255. DOI: 10.3969/j.issn.1000-436x.2014.z2.035.
从研究全局雪崩准则的表达方式出发,提出了全局雪崩准则的矩阵刻画方法,为研究全局雪崩准则提供了新的工具。根据全局雪崩准则平方和指标的性质,提出了一种改造 M-M 型函数的奇数元几乎最优函数,其满足多个密码学性质,具有较小的平方和指标。构造全局雪崩准则性质优良的密码函数是当前研究的一个难点,利用构造新的映射的方法来改造M-M型函数是一种行之有效的办法。
Global avalanche characteristics matrix representation method starting from the expression of global avalanche characteristics was proposed and a new tool for research global avalanche characteristics was provided.According to properties of sum-of-square indicator
an odd almost optimal Boolean functions which meet savariety of properties of cryptography was constructed and hold slower sum-of-square indicator via M-M Boolean functions.It is a problem that how to construct a kind of functions satisfying GAC.There is a effecint way that modifying M-M functions with designing new mapping.
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