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浙江大学学报(理学版)  2016, Vol. 43 Issue (3): 303-306    DOI: 10.3785/j.issn.1008-9497.2016.03.009
电子科学     
计算布尔函数c-导数、c-偏导数的代数方法及其在检测特殊布尔函数中的应用
王芳
浙江艺术职业学院 影视技术系, 浙江 杭州 310053
Algebraic method for calculating c-derivative, c-partial derivative and its application in detecting special boolean function
WANG Fang
Department of Film and TV Technology, Zhejiang Vocational Academy of Art, Hangzhou 310053, China
 全文: PDF(278 KB)  
摘要: 提出了c-偏导数的定义和计算c-导数及c-偏导数的代数方法,给出了基于c-偏导数检测冗余函数、基于c-导数检测线性函数、基于高阶c-导数检测自反函数和自双反函数的方法.与图形方法相比,代数方法具有不受变量限制、简单方便等优点.
关键词: c-导数c-偏导数冗余函数线性函数自反函数自双反函数    
Abstract: The algebraic methods calculating c-derivative and c-partial derivative are presented . The methods for detecting redundant function based on c-partial derivative, detecting linear function based on c-derivative and detecting self-negative and self-dual function based on high-order c-derivative are given. In comparison with the graphic method, this method has several advantages such as no limitation of variable number, simplicity and so on.
Key words: c-derivative    c-partial derivative    redundant function    linear function    self-negative function    self-dual function
收稿日期: 2015-06-29 出版日期: 2016-03-01
CLC:  TP331  
作者简介: 王芳(1981-),ORCID:http://orcid.org/0000-0002-5639-813X,女,副教授,硕士,主要从事数字电路与电子技术研究,E-mail:595297508@qq.com.
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引用本文:

王芳. 计算布尔函数c-导数、c-偏导数的代数方法及其在检测特殊布尔函数中的应用[J]. 浙江大学学报(理学版), 2016, 43(3): 303-306.

WANG Fang. Algebraic method for calculating c-derivative, c-partial derivative and its application in detecting special boolean function. Journal of ZheJIang University(Science Edition), 2016, 43(3): 303-306.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.03.009        https://www.zjujournals.com/sci/CN/Y2016/V43/I3/303

[1] 王芳.基于改进分解图计算布尔函数e-导数、c-导数及布尔导数的方法[J].浙江大学学报:理学版,2015,42(3):298-302. WANG Fang. The method of calculating e-derivative, c-derivative and Boolean derivative of Boolean functions based on improved D-map[J]. Journal of Zhejiang University: Science Edition, 2015,42(3):298-302.
[2] 王芳,应时彦,肖林荣.布尔函数的c-导数及其在组合电路故障检测中的应用[J].浙江大学学报:理学版,2014,41(2):153-155. WANG Fang, YING Shiyan, XIAO Linrong. The c-derivative of Boolean functions and its application in fault detection of combinational circuits[J]. Journal of Zhejiang University: Science Edition,2014,41(2):153-155.
[3] 陈偕雄,沈继忠.近代数字理论[M].杭州:浙江大学出版社,2001. CHEN Xiexiong, SHENG Jizhong. Modern Digital Theory[M]. Hangzhou: Zhejiang University Press,2001.
[4] LI W W, WANG Z, HUANG J L. The e-derivative of Boolean functions and its application in the fault detection and cryptographic system [J]. Keyhernetes, 2011,40(5/6):905-911.
[5] LI Weiwei, WANG Zhuo, ZHANG Zhijie. The application of derivative and e-derivative in the research on H-Boolean functions[J]. CHINA SCI-TEC,2008 (1):267-271.
[6] ZHANG Zhijie, WANG Zhuo, LI Weiwei. The application of e-derivative in studying Bent function[J]. CHINA SCI-TEC,2008(1):278-283.
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