Three classes of balanced vectorial semi-bent functions

2010 ◽

Vol 32 (10) ◽

pp. 2521-2525

Author(s):

Xue-lian Li ◽

Yu-pu Hu ◽

Jun-tao Gao

Keyword(s):

Lower Bounds ◽

Second Order ◽

Bent Functions ◽

Second Order Nonlinearity

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Further study on constructing bent functions outside the completed Maiorana–McFarland class

IET Information Security ◽

10.1049/iet-ifs.2018.5425 ◽

2020 ◽

Vol 14 (6) ◽

pp. 654-660

Author(s):

Shishi Liu ◽

Fengrong Zhang ◽

Enes Pasalic ◽

Shixiong Xia ◽

Zepeng Zhuo

Keyword(s):

Bent Functions

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Systematic Constructions of Rotation Symmetric Bent Functions, 2-Rotation Symmetric Bent Functions, and Bent Idempotent Functions

IEEE Transactions on Information Theory ◽

10.1109/tit.2016.2621751 ◽

2017 ◽

Vol 63 (7) ◽

pp. 4658-4667 ◽

Cited By ~ 8

Author(s):

Sihong Su ◽

Xiaohu Tang

Keyword(s):

Bent Functions ◽

Rotation Symmetric

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Methods to Generate Multiple-valued Bent Functions of an odd Number of Variables

2020 IEEE 50th International Symposium on Multiple-Valued Logic (ISMVL) ◽

10.1109/ismvl49045.2020.00-27 ◽

2020 ◽

Author(s):

Claudio Moraga ◽

Milena Stankovic ◽

Suzana Stojkovic ◽

Radomir S. Stankovic

Keyword(s):

Bent Functions

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Correction to: Cubic bent functions outside the completed Maiorana-McFarland class

Designs Codes and Cryptography ◽

10.1007/s10623-021-00877-5 ◽

2021 ◽

Author(s):

Alexandr A. Polujan ◽

Alexander Pott

Keyword(s):

Bent Functions

A correction to this paper has been published: https://doi.org/10.1007/s10623-019-00712-y

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Corrigendum to “A note on nonexistence of vectorial bent functions with binomial trace representation in the PS− class” [Information Processing Letters 115 (2) (2015) 139–140]

Information Processing Letters ◽

10.1016/j.ipl.2014.12.006 ◽

2015 ◽

Vol 115 (4) ◽

pp. 520 ◽

Cited By ~ 2

Author(s):

E. Pasalic

Keyword(s):

Information Processing ◽

Bent Functions ◽

Class Information ◽

Trace Representation

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Generalizations of bent functions. A survey

Journal of Applied and Industrial Mathematics ◽

10.1134/s1990478911010133 ◽

2011 ◽

Vol 5 (1) ◽

pp. 110-129 ◽

Cited By ~ 30

Author(s):

N. N. Tokareva

Keyword(s):

Bent Functions

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Monomial bent functions

IEEE Transactions on Information Theory ◽

10.1109/tit.2005.862121 ◽

2006 ◽

Vol 52 (2) ◽

pp. 738-743 ◽

Cited By ~ 89

Author(s):

N.G. Leander

Keyword(s):

Bent Functions

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Further Results on Niho Bent Functions

IEEE Transactions on Information Theory ◽

10.1109/tit.2012.2206557 ◽

2012 ◽

Vol 58 (11) ◽

pp. 6979-6985 ◽

Cited By ~ 29

Author(s):

Lilya Budaghyan ◽

Claude Carlet ◽

Tor Helleseth ◽

Alexander Kholosha ◽

Sihem Mesnager

Keyword(s):

Bent Functions

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Self-dual bent functions

International Journal of Information and Coding Theory ◽

10.1504/ijicot.2010.032864 ◽

2010 ◽

Vol 1 (4) ◽

pp. 384 ◽

Cited By ~ 23

Author(s):

Claude Carlet ◽

Lars Eirik Danielsen ◽

Matthew G. Parker ◽

Patrick Sole

Keyword(s):

Bent Functions

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Three classes of balanced vectorial semi-bent functions

The Lower Bounds on the Second Order Nonlinearity of Bent Functions and Semi-bent Functions

Further study on constructing bent functions outside the completed Maiorana–McFarland class

Systematic Constructions of Rotation Symmetric Bent Functions, 2-Rotation Symmetric Bent Functions, and Bent Idempotent Functions

Methods to Generate Multiple-valued Bent Functions of an odd Number of Variables

Correction to: Cubic bent functions outside the completed Maiorana-McFarland class

Corrigendum to “A note on nonexistence of vectorial bent functions with binomial trace representation in the PS− class” [Information Processing Letters 115 (2) (2015) 139–140]

Generalizations of bent functions. A survey

Monomial bent functions

Further Results on Niho Bent Functions

Self-dual bent functions

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