AI Chat AI Image Generator AI Video Text to Speech

Boomerang uniformity of a class of power maps

05/10/2021

∙

by Sartaj Ul Hasan, et al.

∙

∙

We consider the boomerang uniformity of an infinite class of power maps and show that its boomerang uniformity over the finite field F2n is 2 and 4,when n=0 (mod 4)and n=2 (mod 4),respectively. As a consequence, we show that for this class of power maps, the differential uniformity is strictly greater than its boomerang uniformity, contrary to popular belief.

Sartaj Ul Hasan
4 publications
Mohit Pal
3 publications
Pantelimon Stanica
28 publications

page 1

page 2

page 3

page 4

research

∙ 09/27/2022

More infinite classes of APN-like Power Functions

In the literature, there are many APN-like functions that generalize the...

0 Longjiang Qu, et al. ∙

research

∙ 07/14/2021

A class of APcN power functions over finite fields of even characteristic

In this paper, we investigate the power functions F(x)=x^d over the fini...

0 Ziran Tu, et al. ∙

research

∙ 01/04/2022

Dynamics of polynomial maps over finite fields

Let 𝔽_q be a finite field with q elements and let n be a positive intege...

0 José Alves Oliveira, et al. ∙

research

∙ 10/19/2022

On the differential spectrum of a class of APN power functions over odd characteristic finite fields and their c-differential properties

Only three classes of Almost Perfect Nonlinear (for short, APN) power fu...

0 Haode Yan, et al. ∙

research

∙ 08/04/2022

On the Niho type locally-APN power functions and their boomerang spectrum

In this article, we focus on the concept of locally-APN-ness (“APN" is t...

0 Xi Xie, et al. ∙

research

∙ 03/20/2013

Algorithms for Irrelevance-Based Partial MAPs

Irrelevance-based partial MAPs are useful constructs for domain-independ...

0 Solomon Eyal Shimony, et al. ∙

research

∙ 04/10/2019

Dungeons for Science: Mapping Belief Places and Spaces

Tabletop fantasy role-playing games (TFRPGs) have existed in offline and...

0 Aaron Dant, et al. ∙