| 奇数元布尔函数的构造及其密码学性质 |
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| 引用本文： | 秦静.奇数元布尔函数的构造及其密码学性质[J].山东大学学报(工学版),2002,32(2):127-130. |
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| 作者姓名： | 秦静 |
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| 作者单位： | 250100,山东省,济南市,山东大学,数学与系统科学学院 |
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| 摘 要： | 构造具有高非线性度且平衡的奇数元布尔函数是现代密码学研究的一个重要课题 .借助于函数的卷积 ,同时利用Bent函数 ,给出了一类奇数元布尔函数 ,并进一步讨论了这类函数的Walsh循环谱特征、自相关函数、重量特征、平衡性、扩散性、稳定性、相关免疫性及非线性性等密码学性质
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| 关 键 词： | 卷积 布尔函数 非线性 |
| 文章编号： | 1000-5323(2002)02-0127-04 |
| 修稿时间： | 2001年11月29 |
THE CONSTRUCTION OF ODD ELEMENTS BOOLEAN FUNCTIONS AND THEIR CRYPTOGRAPHIC PROPERTIES |
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| QIN,Jing.THE CONSTRUCTION OF ODD ELEMENTS BOOLEAN FUNCTIONS AND THEIR CRYPTOGRAPHIC PROPERTIES[J].Journal of Shandong University of Technology,2002,32(2):127-130. |
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| Authors: | QIN Jing |
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| Abstract: | Constructing odd elements Boolean functions is an important problems in the modern cryptology. Using the convolution and bent functions, a kind of odd elements Boolean functions are presented. The Walsh cyclic spectrum and autocorrelation function of them are given in this paper, also cryptographic properties of these kind of functions such as banlancedness, nonlinearity , correlation immunity and propagation characterics etc. are discussed. |
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| Keywords: | Convolutions Boolean functions Non linear |
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