scholarly journals Bent and Permutational Properties of Budaghyan-Carlet Hexanomials

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Tao Xie
Keyword(s):  
Bent Functions ◽  
Linearized Polynomial

The set related to the existence of Budaghyan-Carlet hexanomials is characterized. By investigating the component functions, it is also proved that none of Budaghyan-Carlet hexanomials cannot be turned into a permutation by adding any linearized polynomial. As a byproduct, a class of quadratic bent functions is obtained.

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

2020 ◽  
Vol 14 (6) ◽  
pp. 654-660
Author(s):  
Shishi Liu ◽  
Fengrong Zhang ◽  
Enes Pasalic ◽  
Shixiong Xia ◽  
Zepeng Zhuo
Keyword(s):  
Bent Functions

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

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

Monomial bent functions

2006 ◽  
Vol 52 (2) ◽  
pp. 738-743 ◽  
Author(s):  
N.G. Leander
Keyword(s):  
Bent Functions

Further Results on Niho Bent Functions

2012 ◽  
Vol 58 (11) ◽  
pp. 6979-6985 ◽  
Author(s):  
Lilya Budaghyan ◽  
Claude Carlet ◽  
Tor Helleseth ◽  
Alexander Kholosha ◽  
Sihem Mesnager
Keyword(s):  
Bent Functions

scholarly journals Self-dual bent functions

2010 ◽  
Vol 1 (4) ◽  
pp. 384 ◽  
Author(s):  
Claude Carlet ◽  
Lars Eirik Danielsen ◽  
Matthew G. Parker ◽  
Patrick Sole
Keyword(s):  
Bent Functions
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