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| 有限域上多值逻辑函数的频谱研究 | |
| 引用本文： | 柯品惠,刘太琳,温凤桐,温巧燕.有限域上多值逻辑函数的频谱研究[J].北京邮电大学学报,2006,29(1):43-47. |
| 作者姓名： | 柯品惠 刘太琳 温凤桐 温巧燕 |
| 作者单位： | 北京邮电大学,理学院,北京,100876;福建师范大学,数学与计算机科学学院,福建,350007;北京邮电大学,理学院,北京,100876;山东财政学院,文理学院,山东,250014;北京邮电大学,理学院,北京,100876;山东济南大学,理学院,山东,250022;北京邮电大学,理学院,北京,100876 |
| 基金项目： | 中国科学院资助项目，高等学校博士学科点专项科研项目，中国科学院信息安全重点实验室基金 |
| 摘 要： | 给出了新的一般有限域上多值逻辑函数的线性谱定义,并对两类谱的转换公式做了进一步简化. 对一般有限域上多值逻辑函数的线性结构进行了分类,刻画了线性结构的谱特征,证明了有限域上多值逻辑函数的退化性和0类线性结构的研究是等价的. |
| 关 键 词： | 有限域 多值逻辑函数 线性谱 线性结构 |
| 文章编号： | 1007-5321（2006）01-0043-05 |
| 收稿时间： | 2005-01-01 |
| 修稿时间： | 2005年1月1日 |
Study on the Spectrums of Multi-Valued Logical Functions over Finite Field |
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| KE Pin-hui,LIU Tai-lin,WEN Feng-tong,WEN Qiao-yan.Study on the Spectrums of Multi-Valued Logical Functions over Finite Field[J].Journal of Beijing University of Posts and Telecommunications,2006,29(1):43-47. | |
| Authors: | KE Pin-hui LIU Tai-lin WEN Feng-tong WEN Qiao-yan |
| Affiliation: | 1.School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China 2.School of Mathematics and Computer Science, Fujian Normal University, Fujian 350007, China 3.School of Literature and Science, Shandong Finance Institute, Shandong 250014, China 4.School of Sciences, Shandong Jinan University, Shandong 250022, China |
| Abstract: | A new definition of linear spectrum of multi-valued logical functions over finite field was proposed. And then the formulae of the two spectra were simplified. Furthermore the linear structures of multi-valued logical function were classified, and the study of the degeneration of multi-valued logical function over finite field and its zero class linear structure were proved to be equivalent. |
| Keywords: | finite field multi-valued logical function linear spectrum linear structure |
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