| Correlation Degree and Correlation Coefficient of Multi-Output Functions |
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| 作者姓名： | JUGui-zhi ZHAOYa-qun |
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| 作者单位： | [1]InstituteofInformationEngineering,InformationEngineeringUniversity,Zhengzhou450002,Henan,China [2]InstituteofInformationEngineering,InformationEngineeringUniversity,Zhengzhou450002,Henan,China／／StateKayI.aboratoryofInformationSecurity,ChineseAcademyofScience,Beijing100039,China |
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| 基金项目： | SupportedbyStateKayLaboratoryofInformationSecurityOpeningFoundation(0103),DoctorateFoundationofInstituteofInformationEngineering(YP20014401)andHenanInnovationProjectforUniversityProminentResearchTalents(2003KJCX008) |
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| 摘 要： | We present definitions of the correlation degree and correlation coefficient of multi-output functions. Two relationships about the correlation degree of multi-output functions are proved. One is between the correlation degree and independency, the other is between the correlation degree and balance. Especially the paper discusses the correlation degree of affine multioutput functions. We demonstrate properties of the correlation coefficient of multi-output functions. One is the value range of the correlation coefficient, one is the relationship between the correlation coefficient and independency, and another is the sufficient and necessary condition that two multi-output functions are equivalent to each other.
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| 关 键 词： | 密码学 布尔函数 相关度 相关系数 多重输出函数 |
| 收稿时间： | 25 May 2004 |
Correlation degree and correlation coefficient of multi-output functions |
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| JUGui-zhi ZHAOYa-qun.Correlation Degree and Correlation Coefficient of Multi-Output Functions[J].Wuhan University Journal of Natural Sciences,2005,10(1):195-198. |
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| Authors: | Ju Gui-zhi Zhao Ya-qun |
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| Institution: | (1) Institute of Information Engineering, Information Engineering University, 450002 Zhengzhou Henan, China;(2) State Kay Laboratory of Information Security, Chinese Academy of Science, 100039 Beijing, China |
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| Abstract: | We present definitions of the correlation degree and correlation coefficient of multi-output functions. Two relationships about the correlation degree of multi-output functions are proved. One is between the correlation degree and independency, the other is between the correlation degree and balance. Especially the paper discusses the correlation degree of affine multi-output functions. We demonstrate properties of the correlation coefficient of multi-output functions. One is the value range of the correlation coefficient, one is the relationship between the correlation coefficient and independency, and another is the sufficient and necessary condition that two multi-output functions are equivalent to each other. |
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| Keywords: | multi-output functions independency correlation degree balance correlation coefficient |
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