Several new infinite classes of 0-APN power functions over 𝔽_2^n

12/09/2022
by   Yuying Man, et al.
0

The investigation of partially APN functions has attracted a lot of research interest recently. In this paper, we present several new infinite classes of 0-APN power functions over 𝔽_2^n by using the multivariate method and resultant elimination, and show that these 0-APN power functions are CCZ-inequivalent to the known ones.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/27/2022

Several classes of 0-APN power functions over 𝔽_2^n

Recently, the investigation of Partially APN functions has attracted a l...
research
10/05/2022

New results of 0-APN power functions over 𝔽_2^n

Partially APN functions attract researchers' particular interest recentl...
research
09/27/2022

More infinite classes of APN-like Power Functions

In the literature, there are many APN-like functions that generalize the...
research
01/28/2019

Neural eliminators and classifiers

Classification may not be reliable for several reasons: noise in the dat...
research
05/30/2019

Partially APN Boolean functions and classes of functions that are not APN infinitely often

In this paper we define a notion of partial APNness and find various cha...
research
07/20/2022

A Totally Predictable Outcome: An Investigation of Traversals of Infinite Structures

Functors with an instance of the Traversable type class can be thought o...
research
05/25/2019

Constructing vectorial bent functions via second-order derivatives

Let n be an even positive integer, and m<n be one of its positive diviso...

Please sign up or login with your details

Forgot password? Click here to reset