On the global avalanche characteristics between two Boolean functions and the higher order nonlinearity☆

Information Sciences ◽

10.1016/j.ins.2009.09.012 ◽

2010 ◽

Vol 180 (2) ◽

pp. 256-265 ◽

Author(s):

Yu Zhou ◽

Min Xie ◽

Guozhen Xiao

Keyword(s):

Boolean Functions ◽

Higher Order ◽

Global Avalanche Characteristics

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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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Generalization of higher order SAC to vector output Boolean functions

Lecture Notes in Computer Science - Advances in Cryptology — ASIACRYPT '96 ◽

10.1007/bfb0034849 ◽

1996 ◽

pp. 218-231 ◽

Author(s):

Kaoru Kurosawa ◽

Takashi Satoh

Keyword(s):

Boolean Functions ◽

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On the Higher Order Nonlinearities of Boolean Functions and S-Boxes, and Their Generalizations

Sequences and Their Applications - SETA 2008 - Lecture Notes in Computer Science ◽

10.1007/978-3-540-85912-3_31 ◽

2008 ◽

pp. 345-367 ◽

Author(s):

Claude Carlet

Keyword(s):

Boolean Functions ◽

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Distinguishing properties and applications of higher order derivatives of Boolean functions

Information Sciences ◽

10.1016/j.ins.2014.02.108 ◽

2014 ◽

Vol 271 ◽

pp. 224-235 ◽

Author(s):

Ming Duan ◽

Mohan Yang ◽

Xiaorui Sun ◽

Bo Zhu ◽

Xuejia Lai

Keyword(s):

Boolean Functions ◽

Higher Order ◽

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On the Higher Order Nonlinearities of Boolean Functions and S-boxes

2009 International Conference on Availability, Reliability and Security ◽

10.1109/ares.2009.31 ◽

2009 ◽

Author(s):

Claude Carlet

Keyword(s):

Boolean Functions ◽

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Boolean functions satisfying a higher order strict avalanche criterion

Advances in Cryptology — EUROCRYPT ’93 - Lecture Notes in Computer Science ◽

10.1007/3-540-48285-7_9 ◽

2007 ◽

pp. 102-117 ◽

Author(s):

Thomas W. Cusick

Keyword(s):

Boolean Functions ◽

Higher Order ◽

Strict Avalanche Criterion

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Nonlinearity, local and global avalanche characteristics of balanced Boolean functions

Discrete Mathematics ◽

10.1016/s0012-365x(01)00193-5 ◽

2002 ◽

Vol 248 (1-3) ◽

pp. 181-193 ◽

Author(s):

Pantelimon Stănică

Keyword(s):

Boolean Functions ◽

Global Avalanche Characteristics

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Global avalanche characteristics and nonlinearity of balanced Boolean functions

Information Processing Letters ◽

10.1016/s0020-0190(98)00009-x ◽

1998 ◽

Vol 65 (3) ◽

pp. 139-144 ◽

Author(s):

Jung Je Son ◽

Jong In Lim ◽

Seongtaek Chee ◽

Soo Hak Sung

Keyword(s):

Boolean Functions ◽

Global Avalanche Characteristics

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On the Co-absence of Input Terms in Higher Order Neuron Representation of Boolean Functions

Advances in Neural Networks - ISNN 2017 - Lecture Notes in Computer Science ◽

10.1007/978-3-319-59081-3_43 ◽

2017 ◽

pp. 362-370

Author(s):

Oytun Yapar ◽

Erhan Oztop

Keyword(s):

Boolean Functions ◽

Higher Order ◽

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Global avalanche characteristics and propagation criterion of balanced Boolean functions

Information Processing Letters ◽

10.1016/s0020-0190(98)00184-7 ◽

1999 ◽

Vol 69 (1) ◽

pp. 21-24 ◽

Author(s):

Soo Hak Sung ◽

Seongtaek Chee ◽

Choonsik Park

Keyword(s):

Boolean Functions ◽

Propagation Criterion ◽

Global Avalanche Characteristics

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