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具有最大代数免疫度的布尔函数的构造 被引量：1

Construction of Boolean Function with Maximum Algebraic Immunity
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摘要 系统地总结了现有的具有最大代数免疫度的布尔函数的构造方法,将现有各种构造方法按其构造思想的不同分为有代表性的几类,并分别介绍了基于这几类方法的一些结果和进展,其中包括作者自己在该方面的研究结果。 In this survey paper,we reviewed the recent constructions of Boolean functions with maximum algebraic immunity（MAI）,and classifeid those into several different classes by the construction idea.Further,we also presented some results and developments of these methods,including some results of the authors.
作者 熊晓雯 屈龙江 李超
机构地区 国防科技大学理学院数学与系统科学系 东南大学移动通信国家重点实验室
出处 《计算机科学》 CSCD 北大核心 2011年第1期26-30,共5页 Computer Science
基金 国家自然科学基金(60803156) 东南大学移动通信国家重点实验室开放研究基金(W200807)资助
关键词 布尔函数 代数攻击 代数免疫度 最优性构造 Boolean functions Aalgebraic attacks Algebraic immunity Optimal construction
分类号 TP981 [自动化与计算机技术]
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参考文献25

  • 1Li Na, Qi Wen feng. Construction and Analysis of Boolean Fun etions of 2t+1 Variables with Maximum Algebraic Immunity:ASIACRYP'F 2006[C]//LNCS 4284. Springer Verlag,2006:82- 98.
  • 2Meier W,Pasalic E,Carlet C. Algebraic attacks and decomposition of Boolean functions: Cryptology-EUROCRYPT 2004[C]// LNCS 3027. Springer Verlag,2004:474- 491.
  • 3Batten L M. Algebraic attacks over GF(q): Cryptology-INDOCRYPT 2004[C]//LNCS 3348. Springer Verlag,2004:84-91.
  • 4Sarkar S, Maitra S. Construction of Rotation Symmetric Boolean Functions on Odd Number of Variables with Maximum Algebraic Immunity: Algebra, Algebraic Algorithms and Erro-Correcting Codes, 2007 [C]//LNCS 4851. Springer Verlag, 2007: 271-280.
  • 5Dalai D K. Cryptographically significant Boolean functions: construction and analysis in terms of algebraic immunity: FSE 2005 [C]//LNCS 3557. Springer Verlag, 2005 : 98-111.
  • 6Courtois N, Meier W. Algebraic attacks on stream ciphers with linear feedback: Cryptology-EUROCRYPT 2003 [C]//LNCS 2656. Springer Verlag, 2003 : 345 -359.
  • 7Chen Yin-dong. A First Order Recursive Construction of Boolean Function with Optimum Algebraic Immunity[EB/OL]. http://eprint.iacr. org/2009/134.pdf.
  • 8Fu Shao-jing, l.i Chao, Qu Long-jiang. Construction of Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity: CANS 2009[C]//LNCS 5888. Springer Verlag, 2007 : 402- 412.
  • 9Liu Mein-cheng, Pei Ding-yi. Identification and construction of Boolean functions with Maximum Algebraic Immunity[J]. Science in China, 2009.
  • 10LI Chunlei,ZENG Xiangyong,SU Wei,HU Lei.A Class of Rotation Symmetric Boolean Functions with Optimum Algebraic Immunity[J].Wuhan University Journal of Natural Sciences,2008,13(6):702-706. 被引量：4

二级参考文献21

  • 1Deepak Kumar Dalai,Subhamoy Maitra,Sumanta Sarkar.Basic Theory in Construction of Boolean Functions with Maximum Possible Annihilator Immunity[J].Designs Codes and Cryptography.2006(1)
  • 2Armknecht F.Improving fast algebraic attacks[].FSE.2004
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  • 6Courtois N.Fast algebraic attacks on stream ciphers with linear feedback[].CRYPTO.2003
  • 7Dalai D K,Gupta K C,aitra S.Results on algebraic immunity for cryptographically significant Boolean functions[].INDOCRYPT.2004
  • 8Meier W,Pasalic E,Carlet C.Algebraic attacks and decomposition of Boolean functions[].Advances in Cryptol- ogy-EUROCRYPT.2004
  • 9Braeken A,Preneel B.On the algebraic immunity of symmetric Boolean functions[].INDOCRYPT.2005
  • 10Dalai D K,Maitra S,Sarkar S.Basic theory in construction of Boolean functions with maximum possible annihilator im- munity[].Design Code Cryptog.2006

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计算机科学
2011年 第1期

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