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基于K图的布尔E-导数计算的图形方法 被引量:5

Graphic method calculating Boolean E-derivative based on K-map
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摘要 分析了逻辑函数的K图和降维K图,在此基础上,从逻辑函数定义出发,讨论了用K图和降维K图计算逻辑函数一阶布尔E-导数和二阶布尔E-导数的图形方法,实例表明该方法具有直观、简单等特点,并且能给出布尔E-导数的最简与/或式. The K-map and reduced-dimension K-map of a logic function were analysed, based on which, the graphic methods calculating first-order and second-order Boolean E-derivative by using K-map and reduced-dimension K-map according to the definition of logic functions are proposed. The examples show that this method has the features of intuition and simplicity, and it can also obtain the simplest AND/OR expression of Boolean E-derivative.
出处 《浙江大学学报(理学版)》 CAS CSCD 2013年第3期260-262,303,共4页 Journal of Zhejiang University(Science Edition)
基金 国家自然科学基金资助项目(60971061)
关键词 K图 降维K图 布尔E-导数 故障检测 密码学特性 K-map reduced-dimension K-map Boolean E-derivative fault detecting the features of cryptography
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参考文献5

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二级参考文献6

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共引文献21

同被引文献23

  • 1应时彦,肖林荣,杭国强.逻辑函数FGOC展开的最小化技术[J].浙江大学学报(工学版),2007,41(3):423-426. 被引量:1
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  • 5李卫卫,王卓,张志杰.导数和e导数在研究H布尔函数中的应用[J].中国通信学会第五届学术会议论文集.北京:电子工业出版社,2008:267~271.
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  • 7李卫卫,王卓,张志杰.导数和e-导数在研究H-布尔函数中的应用[c]//中国通信学会第五届学术会议论文集.北京:电子工业出版社,2008(1):267-271.
  • 8LI W W, WANG Z. The e-derivative of Boolean func- tions and its application in the fault detection and cryp- tophic system[J]. Kybernetes, 2008,37 (2) : 49-65.
  • 9LI WW, WANG Z. The e-derivative of Boolean functions and its application in the fault detection and cryptographic system [J]. Kybemetes, 2008, 37(2):49-65.
  • 10DING YJ,WANG Z,YE JH.Initial-value problem of the Boolean function's primary function and its application in cryptographic system[J].Kybernetes, 2010,39(6):900-906.

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