| e-导数的几个性质和几个布尔函数密码学性质定理 |
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| 引用本文： | 朱兴红,张志杰.e-导数的几个性质和几个布尔函数密码学性质定理[J].山东师范大学学报(自然科学版),2013,28(1):50-53. |
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| 作者姓名： | 朱兴红 张志杰 |
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| 作者单位： | 1. 西北民族大学学报编辑部,730030,兰州
2. 辽宁工程技术大学计算机学院,125105,辽宁阜新 |
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| 摘 要： | 密码安全是计算机信息安全，网络安全的保障．布尔函数的e-导数是为将其和导数一起用于研究布尔函数的密码学性质这一密码安全关键而于2007年才提出的新概念．笔者以e-导数为研究工具来探讨布尔函数的代数免疫，相关免疫这两个密码学性质的问题，得到一些判断布尔函数代数免疫阶和相关免疫阶的定理．同时，为便于对e-导数的使用，笔者也讨论了e-导数的一些性质，得出了一些相应的定理．
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| 关 键 词： | e-导数 密码安全 相关免疫性 代数免疫性 |
SOME PROPERTIES OF THE e-DERIVATIVES AND SEVERAL CRYPTOGRAPHIC PROPERTIES OF BOOLEAN FUNCTION THEOREM |
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| Zhu Xinghong
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Zhang Zhijie.SOME PROPERTIES OF THE e-DERIVATIVES AND SEVERAL CRYPTOGRAPHIC PROPERTIES OF BOOLEAN FUNCTION THEOREM[J].Journal of Shandong Normal University(Natural Science),2013,28(1):50-53. |
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| Authors: | Zhu Xinghong Zhang Zhijie |
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| Institution: | Zhu Xinghong) Zhang Zhijie2 ( 1 ) Editorial Department of Journal, Northwest University for Nationalities,730030, Lanzhou, China ; 2 ) School of Computer Science, LiaoNing University of Project Technology, 125105, Fuxin, Liaoning, China ) |
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| Abstract: | Password security is protection of computer information security, network security. Boolean function e - derivative used to study with the derivative together on the cryptographic properties of Boolean functions, which are the password security key, is the new concept proposed in 2007. We take the e - derivative as a research tool to explore the algebraic immunity and the correlation immunity of Boolean functions, and get some judgments of Boolean functions Algebraic Immune degree and correlation immune order theorem. Meanwhile, in order to facilitate the use of e - derivative, we also discusse some properties of e - derivative, and obtain some corresponding theorem. |
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| Keywords: | e - derivative password security correlation immunity algebraic immunity |
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