Highly nonlinear balanced Boolean functions with good local and global avalanche characteristics

Information Processing Letters ◽

10.1016/s0020-0190(02)00207-7 ◽

2002 ◽

Vol 83 (5) ◽

pp. 281-286 ◽

Author(s):

Subhamoy Maitra

Keyword(s):

Boolean Functions ◽

Highly Nonlinear ◽

Global Avalanche Characteristics

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Construction of Highly Nonlinear 1-Resilient Boolean Functions with Optimal Algebraic Immunity and Provably High Fast Algebraic Immunity

IEEE Transactions on Information Theory ◽

10.1109/tit.2017.2725918 ◽

2017 ◽

pp. 1-1 ◽

Author(s):

Deng Tang ◽

Claude Carlet ◽

Xiaohu Tang ◽

Zhengchun Zhou

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Highly Nonlinear

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Highly nonlinear 0–1 balanced boolean functions satisfying strict avalanche criterion (extended abstract)

Advances in Cryptology — AUSCRYPT '92 - Lecture Notes in Computer Science ◽

10.1007/3-540-57220-1_58 ◽

1993 ◽

pp. 143-155 ◽

Author(s):

Jennifer Seberry ◽

Xian-Mo Zhang

Keyword(s):

Boolean Functions ◽

Highly Nonlinear ◽

Strict Avalanche Criterion

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Generating highly nonlinear resilient Boolean functions resistance against algebraic and fast algebraic attacks

Security and Communication Networks ◽

10.1002/sec.1078 ◽

2014 ◽

Vol 8 (7) ◽

pp. 1256-1264 ◽

Author(s):

Jun-Po Yang ◽

Wei-Guo Zhang

Keyword(s):

Boolean Functions ◽

Algebraic Attacks ◽

Highly Nonlinear ◽

Fast Algebraic Attacks

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A combined DCA: GA for constructing highly nonlinear balanced boolean functions in cryptography

Journal of Global Optimization ◽

10.1007/s10898-009-9481-4 ◽

2009 ◽

Vol 47 (4) ◽

pp. 597-613 ◽

Author(s):

Hoai Minh Le ◽

Hoai An Le Thi ◽

Tao Pham Dinh ◽

Pascal Bouvry

Keyword(s):

Boolean Functions ◽

Highly Nonlinear

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Secondary constructions of highly nonlinear Boolean functions and disjoint spectra plateaued functions

Information Sciences ◽

10.1016/j.ins.2014.06.024 ◽

2014 ◽

Vol 283 ◽

pp. 94-106 ◽

Author(s):

Feng-rong Zhang ◽

Claude Carlet ◽

Yu-pu Hu ◽

Tian-jie Cao

Keyword(s):

Boolean Functions ◽

Plateaued Functions ◽

Highly Nonlinear

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Construction of highly nonlinear resilient Boolean functions satisfying strict avalanche criterion

Science China Information Sciences ◽

10.1007/s11432-014-5073-0 ◽

2014 ◽

Vol 57 (4) ◽

pp. 1-6 ◽

Author(s):

WeiGuo Zhang ◽

FuQiang Jiang ◽

Deng Tang

Keyword(s):

Boolean Functions ◽

Highly Nonlinear ◽

Strict Avalanche Criterion

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Results on highly nonlinear Boolean functions with provably good immunity to fast algebraic attacks

Information Sciences ◽

10.1016/j.ins.2017.08.097 ◽

2017 ◽

Vol 421 ◽

pp. 181-203 ◽

Author(s):

Meicheng Liu ◽

Dongdai Lin

Keyword(s):

Boolean Functions ◽

Algebraic Attacks ◽

Highly Nonlinear ◽

Fast Algebraic Attacks

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Highly Nonlinear Boolean Functions With Optimal Algebraic Immunity and Good Behavior Against Fast Algebraic Attacks

IEEE Transactions on Information Theory ◽

10.1109/tit.2012.2217476 ◽

2013 ◽

Vol 59 (1) ◽

pp. 653-664 ◽

Author(s):

Deng Tang ◽

Claude Carlet ◽

Xiaohu Tang

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Algebraic Attacks ◽

Highly Nonlinear ◽

Fast Algebraic Attacks

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Searching for Highly Nonlinear DPA-Resistant Balanced Boolean Functions in the Rotation Symmetric Class

2019 IEEE International Symposium on Information Theory (ISIT) ◽

10.1109/isit.2019.8849385 ◽

2019 ◽

Author(s):

Youle Xu ◽

Qichun Wang

Keyword(s):

Boolean Functions ◽

Rotation Symmetric ◽

Highly Nonlinear

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New Constructions for Resilient and Highly Nonlinear Boolean Functions

Information Security and Privacy - Lecture Notes in Computer Science ◽

10.1007/3-540-45067-x_43 ◽

2003 ◽

pp. 498-509 ◽

Author(s):

Khoongming Khoo ◽

Guang Gong

Keyword(s):

Boolean Functions ◽

Highly Nonlinear

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