Low c-Differential Uniformity of the Swapped Inverse Function in Odd Characteristic

03/14/2022
by   Jaeseong Jeong, et al.
0

The study of Boolean functions with low c-differential uniformity has become recently an important topic of research. However, in odd characteristic case, there are not many results on the (c-)differential uniformity of functions that are not power functions. In this paper, we investigate the c-differential uniformity of the swapped inverse functions in odd characteristic, and show that their c-differential uniformities are at most 6 except for some special case.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/04/2022

Investigations of c-Differential Uniformity of Permutations with Carlitz Rank 3

The c-differential uniformity is recently proposed to reflect resistance...
research
07/17/2019

A substitute for the classical Neumann–Morgenstern characteristic function in cooperative differential games

In this paper, we present a systematic overview of different endogenous ...
research
09/19/2020

Low c-differential and c-boomerang uniformity of the swapped inverse function

Modifying the binary inverse function in a variety of ways, like swappin...
research
05/09/2023

On differential properties of a class of Niho-type power function

This paper deals with Niho functions which are one of the most important...
research
12/03/2019

A simple proof of the characteristic function of Student's t-distribution

This note presents a simple proof of the characteristic function of Stud...
research
12/25/2022

Bivariate functions with low c-differential uniformity

Starting with the multiplication of elements in 𝔽_q^2 which is consisten...
research
12/06/2021

Low c-differential uniformity for functions modified on subfields

In this paper, we construct some piecewise defined functions, and study ...

Please sign up or login with your details

Forgot password? Click here to reset