Two Classes of Symmetric Boolean Functions With Optimum Algebraic Immunity: Construction and Analysis

IEEE Transactions on Information Theory ◽

10.1109/tit.2011.2111810 ◽

2011 ◽

Vol 57 (4) ◽

pp. 2522-2538 ◽

Author(s):

Yindong Chen ◽

Peizhong Lu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions

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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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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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Symmetric Boolean functions depending on an odd number of variables with maximum algebraic immunity

IEEE Transactions on Information Theory ◽

10.1109/tit.2006.872977 ◽

2006 ◽

Vol 52 (5) ◽

pp. 2271-2273 ◽

Author(s):

Na Li ◽

Wen-Feng Qi

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions

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

Applied Mathematics Letters ◽

10.1016/j.aml.2011.06.004 ◽

2011 ◽

Vol 24 (12) ◽

pp. 2093-2096 ◽

Author(s):

Shaojing Fu ◽

Chao Li ◽

Kanta Matsuura ◽

Longjiang Qu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

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Algebraic Immunity of Even Variable Symmetric Boolean Functions

2009 Second International Workshop on Knowledge Discovery and Data Mining ◽

10.1109/wkdd.2009.46 ◽

2009 ◽

Author(s):

Weiqiang Zhang ◽

Ruihu Li

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions

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Construction of Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity

Cryptology and Network Security - Lecture Notes in Computer Science ◽

10.1007/978-3-642-10433-6_27 ◽

2009 ◽

pp. 402-412 ◽

Author(s):

Shaojing Fu ◽

Chao Li ◽

Kanta Matsuura ◽

Longjiang Qu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

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Weight Support Technique and the Symmetric Boolean Functions with Maximum Algebraic Immunity on Even Number of Variables

Information Security and Cryptology - Lecture Notes in Computer Science ◽

10.1007/978-3-540-79499-8_22 ◽

2008 ◽

pp. 271-282 ◽

Author(s):

Longjiang Qu ◽

Chao Li

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

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Construction of even-variable rotation symmetric Boolean functions with maximum algebraic immunity

Science China Information Sciences ◽

10.1007/s11432-011-4350-4 ◽

2011 ◽

Vol 56 (3) ◽

pp. 1-9 ◽

Author(s):

ShaoJing Fu ◽

Chao Li ◽

Kanta Matsuura ◽

LongJiang Qu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

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Construction of odd-Variable Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e99.a.853 ◽

2016 ◽

Vol E99.A (4) ◽

pp. 853-855 ◽

Author(s):

Shaojing FU ◽

Jiao DU ◽

Longjiang QU ◽

Chao LI

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Download Full-text