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.
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.
[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.
2016, Vol. 43 
