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 ◽

Cited By ~ 6

Author(s):

Claude Carlet

Keyword(s):

Boolean Functions ◽

Higher Order

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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 ◽

Cited By ~ 3

Author(s):

Kaoru Kurosawa ◽

Takashi Satoh

Keyword(s):

Boolean Functions ◽

Higher Order

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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 ◽

Cited By ~ 3

Author(s):

Ming Duan ◽

Mohan Yang ◽

Xiaorui Sun ◽

Bo Zhu ◽

Xuejia Lai

Keyword(s):

Boolean Functions ◽

Higher Order ◽

Derivatives Of

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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 ◽

Cited By ~ 1

Author(s):

Claude Carlet

Keyword(s):

Boolean Functions ◽

Higher Order

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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 ◽

Cited By ~ 7

Author(s):

Thomas W. Cusick

Keyword(s):

Boolean Functions ◽

Higher Order ◽

Strict Avalanche Criterion

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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 ◽

Order Neuron

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Efficient minimization of higher order submodular functions using monotonic Boolean functions

Discrete Applied Mathematics ◽

10.1016/j.dam.2016.11.022 ◽

2017 ◽

Vol 220 ◽

pp. 1-19 ◽

Cited By ~ 3

Author(s):

Srikumar Ramalingam ◽

Chris Russell ◽

L’ubor Ladický ◽

Philip H.S. Torr

Keyword(s):

Boolean Functions ◽

Higher Order ◽

Submodular Functions

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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 ◽

Cited By ~ 22

Author(s):

Yu Zhou ◽

Min Xie ◽

Guozhen Xiao

Keyword(s):

Boolean Functions ◽

Higher Order ◽

Global Avalanche Characteristics

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Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity

IEEE Transactions on Information Theory ◽

10.1109/tit.2008.926360 ◽

2008 ◽

Vol 54 (8) ◽

pp. 3656-3662 ◽

Cited By ~ 21

Author(s):

Sihem Mesnager

Keyword(s):

Lower Bound ◽

Boolean Functions ◽

Higher Order ◽

Algebraic Immunity

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On Higher-order Correlation Immunity and Higher Nonlinearity for a Class of Boolean Functions

DEStech Transactions on Engineering and Technology Research ◽

10.12783/dtetr/iect2016/3810 ◽

2016 ◽

Author(s):

Jinglian Huang ◽

Zhuo Wang ◽

Chunling Zhang

Keyword(s):

Boolean Functions ◽

Higher Order ◽

Correlation Immunity

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Lower bounds on the higher order nonlinearities of Boolean functions and their applications to the inverse function

2008 IEEE Information Theory Workshop ◽

10.1109/itw.2008.4578680 ◽

2008 ◽

Cited By ~ 2

Author(s):

Claude Carlet

Keyword(s):

Lower Bounds ◽

Boolean Functions ◽

Inverse Function ◽

Higher Order

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