| 一阶相关免疫函数的新构造方法与计数 |
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| 引用本文： | 吕继强,韩锦荣,韦宝典,王新梅.一阶相关免疫函数的新构造方法与计数[J].电子学报,2003,31(8):1269-1271. |
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| 作者姓名： | 吕继强 韩锦荣 韦宝典 王新梅 |
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| 作者单位： | 西安电子科技大学综合业务网国家重点实验室,陕西西安 710071 |
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| 基金项目： | 国家 973项目基金 (No G1 9990 3580 3) |
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| 摘 要： | 本文研究了一阶相关免疫函数构造、计数问题,提出了一种新的一阶相关免疫函数的构造方法,由此得到了大量的一阶相关免疫函数;并通过这种构造方法给出了一个目前最好的一阶相关免疫函数个数下界,此下界比现有的结果至少改进了(22<em>n-1+2n)/(2n+8-210).
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| 关 键 词： | 布尔函数 相关免疫函数 列平衡矩阵 |
| 文章编号： | 0372-2112(2003)08-1269-03 |
| 收稿时间： | 2001-12-04 |
New Construction Method and Numeration of 1st-Order Correlation-Immune Functions |
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| LV Ji qiang,HAN Jin rong,WEI Bao dian,WANG Xin mei.New Construction Method and Numeration of 1st-Order Correlation-Immune Functions[J].Acta Electronica Sinica,2003,31(8):1269-1271. |
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| Authors: | LV Ji qiang HAN Jin rong WEI Bao dian WANG Xin mei |
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| Affiliation: | National Key Lab of Integrated Service Networks,Xidian Univ.,Xi'an,Shaanxi 710071,China |
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| Abstract: | Construction and numeration of 1st order correlation immune functions were studied.A new method to construct the 1st order correlation immune functions was proposed,through which a number of 1st order correlation immune functions were got and the best lower bound of 1st order correlation immune functions so far was gained.The lower bound is at least (2 2 n-1 2 n )/(2 n 8 -2 10 ) more than the present. |
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| Keywords: | boolean function correlation immune functions column balanced matrix |
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