Upper bounds on the multiplicative complexity of symmetric Boolean functions

Cryptography and Communications ◽

10.1007/s12095-019-00377-3 ◽

2019 ◽

Vol 11 (6) ◽

pp. 1339-1362 ◽

Author(s):

Luís T. A. N. Brandão ◽

Çağdaş Çalık ◽

Meltem Sönmez Turan ◽

René Peralta

Keyword(s):

Boolean Functions ◽

Upper Bounds ◽

Multiplicative Complexity ◽

Symmetric Boolean Functions

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Upper bounds for the complexity of sequences generated by symmetric Boolean functions

Discrete Applied Mathematics ◽

10.1016/s0166-218x(00)00371-1 ◽

2001 ◽

Vol 114 (1-3) ◽

pp. 227-231

Author(s):

Yu.V. Merekin

Keyword(s):

Boolean Functions ◽

Upper Bounds ◽

Symmetric Boolean Functions

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Upper bounds for the formula size of symmetric Boolean functions

Russian Mathematics ◽

10.3103/s1066369x14050041 ◽

2014 ◽

Vol 58 (5) ◽

pp. 30-42 ◽

Author(s):

I. S. Sergeev

Keyword(s):

Boolean Functions ◽

Upper Bounds ◽

Symmetric Boolean Functions

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Upper bounds on the depth of symmetric Boolean functions

Moscow University Computational Mathematics and Cybernetics ◽

10.3103/s0278641913040080 ◽

2013 ◽

Vol 37 (4) ◽

pp. 195-201 ◽

Author(s):

I. S. Sergeev

Keyword(s):

Boolean Functions ◽

Upper Bounds ◽

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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Construction and Counting of 1-Resilient Rotation Symmetric Boolean Functions on pq Variables

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e96.a.1653 ◽

2013 ◽

Vol E96.A (7) ◽

pp. 1653-1656 ◽

Author(s):

Jiao DU ◽

Qiaoyan WEN ◽

Jie ZHANG ◽

Shanqi PANG

Keyword(s):

Boolean Functions ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation 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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The Notes on the Linear Structures of Rotation Symmetric Boolean Functions

JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGY ◽

10.3724/sp.j.1146.2012.00193 ◽

2013 ◽

Vol 34 (9) ◽

pp. 2273-2276 ◽

Author(s):

Guang-pu Gao ◽

Wen-fen Liu

Keyword(s):

Boolean Functions ◽

Linear Structures ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

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Balanced rotation symmetric Boolean functions with good autocorrelation properties

IEEE Access ◽

10.1109/access.2021.3077145 ◽

2021 ◽

pp. 1-1

Author(s):

Lei Sun ◽

Zexia Shi

Keyword(s):

Boolean Functions ◽

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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Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension

Cryptography and Communications ◽

10.1007/s12095-015-0143-8 ◽

2015 ◽

Vol 8 (1) ◽

pp. 67-81 ◽

Author(s):

Thomas W. Cusick ◽

Pantelimon Stănică

Keyword(s):

Boolean Functions ◽

Equivalence Classes ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions ◽

Prime Dimension

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