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广义Maiorana-McFarland布尔函数及其密码特性

Extended Maiorana-McFarland Boolean Functions and Cyptography Property
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摘要 定义了一类广义M-M类函数,给出了它的Walsh谱的表达式、代数次数和非线性度的界,论述了平衡函数、相关免疫函数和resilient函数的充分条件. A class of extended Maiorana-McFarland (M-M) functions is defined. It is proposed that the the and expression of its Walsh spectrum and the bound of its algebra degree. It is as well as proved that M-M functions is the sufficient condition of the balanced functions, correlation immune functions resilient functions
出处 《北京邮电大学学报》 EI CAS CSCD 北大核心 2006年第3期57-60,共4页 Journal of Beijing University of Posts and Telecommunications
基金 国家自然科学基金项目(60172060)
关键词 布尔函数 非线性度 平衡性 相关免疫性 boolean functions nonlinearity balanced correlation immune resilient functions
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参考文献4

  • 1Camion P,Carlet C,Charpin P,et al.On correlation-immune functions[C]∥Advances in Cryptology-CRYPTO'91,LNCS 576.[S.l.]:Springer-Verlag,1992:86-100.
  • 2Claude Carlet.A large class of cryptographic boolean functions via a study of the maiorana-McFarland construction[C]∥ CRYPTO 2002,LNCS 2444.2002:549-564.
  • 3Matsui M.Linear cryptanalysis method for DES cipher[C]∥Advances in Cryptology-Eurocrypt'93 (Lecture Notes in Computer Science,vol.765).Berlin:Springer-Verlag,1994:386-397.
  • 4Zhen Xguo,Massey J L.A spectral characterization of correlation-immune combining functions[J].IEEE Transactions on Information Theory,1988,34(3):569-571.

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