Finding More Boolean Functions with Maximum Algebraic Immunity Based on Univariate Polynomial Representation

Information Security and Privacy - Lecture Notes in Computer Science ◽

10.1007/978-3-642-22497-3_4 ◽

2011 ◽

pp. 47-60 ◽

Author(s):

Yusong Du ◽

Fangguo Zhang

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Polynomial Representation ◽

Univariate Polynomial

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On the Resistance of Boolean Functions Against Algebraic Attacks Using Univariate Polynomial Representation

IEEE Transactions on Information Theory ◽

10.1109/tit.2010.2050801 ◽

2010 ◽

Vol 56 (8) ◽

pp. 4014-4024 ◽

Author(s):

Panagiotis Rizomiliotis

Keyword(s):

Boolean Functions ◽

Polynomial Representation ◽

Algebraic Attacks ◽

Univariate Polynomial

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Generalized Construction of Boolean Function with Maximum Algebraic Immunity Using Univariate Polynomial Representation

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e96.a.360 ◽

2013 ◽

Vol E96.A (1) ◽

pp. 360-362 ◽

Author(s):

Shaojing FU ◽

Chao LI ◽

Longjiang QU

Keyword(s):

Boolean Function ◽

Algebraic Immunity ◽

Polynomial Representation ◽

Univariate Polynomial

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Annihilators and Algebraic Immunity of Symmetric Boolean Functions

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e94.a.1434 ◽

2011 ◽

Vol E94-A (6) ◽

pp. 1434-1440 ◽

Author(s):

Jie PENG ◽

Haibin KAN

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions

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Constructing Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity on an Odd Number of Variables

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e95.a.1056 ◽

2012 ◽

Vol E95.A (6) ◽

pp. 1056-1064 ◽

Author(s):

Jie PENG ◽

Haibin KAN

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

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A Comment on Algebraic Immunity of the Sum of Two Boolean Functions

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e95.a.1187 ◽

2012 ◽

Vol E95.A (7) ◽

pp. 1187-1188

Author(s):

Longjiang QU ◽

Shaojing FU ◽

Chunqing WU

Keyword(s):

Boolean Functions ◽

Algebraic Immunity

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On the maximal component algebraic immunity of vectorial Boolean functions

Journal of Applied and Industrial Mathematics ◽

10.1134/s1990478916020101 ◽

2016 ◽

Vol 10 (2) ◽

pp. 257-263

Author(s):

D. P. Pokrasenko

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Vectorial Boolean Functions

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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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Hybrid approach to the search for boolean functions with high algebraic immunity based on heuristics

Prikladnaya diskretnaya matematika Prilozhenie ◽

10.17223/2226308x/14/4 ◽

2021 ◽

pp. 37-40

Author(s):

N. D. Atutova

Keyword(s):

Boolean Functions ◽

Hybrid Approach ◽

Algebraic Immunity

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Balanced 2p-variable rotation symmetric Boolean functions with optimal algebraic immunity

Discrete Applied Mathematics ◽

10.1016/j.dam.2016.06.005 ◽

2016 ◽

Vol 215 ◽

pp. 20-30 ◽

Author(s):

Lei Sun ◽

Fang-Wei Fu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

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Some results on the algebraic immunity of Boolean functions

The Journal of China Universities of Posts and Telecommunications ◽

10.1016/s1005-8885(10)60051-9 ◽

2011 ◽

Vol 18 (2) ◽

pp. 102-105

Author(s):

Li-qing XU ◽

hao CHEN

Keyword(s):

Boolean Functions ◽

Algebraic Immunity

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