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| 多输出m值逻辑函数的谱特征 | |
| 引用本文： | 赵亚群,应定海,冯登国.多输出m值逻辑函数的谱特征[J].郑州大学学报(理学版),2006,38(3):4-9. |
| 作者姓名： | 赵亚群 应定海 冯登国 |
| 作者单位： | 1. 信息工程大学信息工程学院,郑州,450002;中国科学院研究生院信息安全国家重点实验室,北京,100039 2. 信息工程大学信息工程学院,郑州,450002 3. 中国科学院研究生院信息安全国家重点实验室,北京,100039 |
| 基金项目： | 中国科学院研究生院信息安全国家重点实验开放课题基金项目(2005-01-02) |
| 摘 要： | 讨论了剩余类环上多输出多值逻辑函数的谱特征,给出了多输出m值逻辑函数的广义一阶Chrestenson谱与单输出m值逻辑函数Chrestenson谱之间的关系,得到了多输出m值逻辑函数的广义一阶Chrestenson谱与其函数之间的转换公式,接着给出了多输出m值逻辑函数的广义一阶Chrestenson谱的概率表示式.同时讨论了多输出m值逻辑函数的广义一阶Chrestenson线性谱和循环谱之间的关系,并给出了这两种谱之间的关系式. |
| 关 键 词： | 剩余类环 多输出m值逻辑函数 广义一阶Chrestenson谱 |
| 文章编号： | 1671-6841(2006)03-0004-06 |
| 收稿时间： | 12 31 2005 12:00AM |
| 修稿时间： | 2005年12月31 |
Spectral Characteristics of Multi-output m-valued Logical Functions |
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| ZHAO Ya-qun,YING Ding-hai,FENG Deng-guo.Spectral Characteristics of Multi-output m-valued Logical Functions[J].Journal of Zhengzhou University:Natural Science Edition,2006,38(3):4-9. | |
| Authors: | ZHAO Ya-qun YING Ding-hai FENG Deng-guo |
| Institution: | 1. Information Institute, Information Engineering University, Zhengzhou 450002, China ; 2. The State Key Laboratory of Information Security( SKLOIS;GUCAS |
| Abstract: | Certain spectral characteristics of multi-output m-valued logical functions over Zm ring are discussed. The relation between the generalized first order Chrestenson spectrum of multi-output m-valued logical functions and the Chrestenson spectrum of single-output m-valued logical functions is given. The transformation between multi-output m-valued logical functions' generalized first order Chrestenson spectrum and the functions themselves is present.Then,the probability expression of multi-output m-valued logical functions' generalized first order Chrestenson spectrum is given. At last, the relation between multi-output m-valued logical functions' generalized first order linear spectrum and generalized first order cyclic spectrum is discussed and the transformation of these two spectra is obtained. |
| Keywords: | Zmring multi-outputm-valued logical function generalized first order Chrestenson spectrum |
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