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20082023
most citedSeveral Classes of Permutation Trinomials From Niho Exponents

85 citations · 142 across the 28 of their papers we have counts for

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cs.IT2023

In-depth analysis of S-boxes over binary finite fields concerning their differential and Feistel boomerang differential uniformities

Yuying Man, Sihem Mesnager, Nian Li +2

Substitution boxes (S-boxes) play a significant role in ensuring the resistance of block ciphers against various attacks. The Difference Distribution Table (DDT), the Feistel Boome…

cs.IT2023

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

Zhexin Wang, Sihem Mesnager, Nian Li +1

This paper deals with Niho functions which are one of the most important classes of functions thanks to their close connections with a wide variety of objects from mathematics, suc…

cs.IT2023

New constructions of optimal linear codes from simplicial complexes

Zhao Hu, Yunge Xu, Nian Li +3

In this paper, we construct a large family of projective linear codes over from the general simplicial complexes of via the defining-set const…

cs.IT2022

Bivariate functions with low -differential uniformity

Yanan Wu, Pantelimon Stănică, Chunlei Li +2

Starting with the multiplication of elements in which is consistent with that over , where is a prime power, via some identification of the…

cs.IT2022

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

Xi Xie, Sihem Mesnager, Nian Li +2

In this article, we focus on the concept of locally-APN-ness (``APN" is the abbreviation of the well-known notion of Almost Perfect Nonlinear) introduced by Blondeau, Canteaut, and…

cs.IT2022

The differential spectrum and boomerang spectrum of a class of locally-APN functions

Zhao Hu, Nian Li, Linjie Xu +2

In this paper, we study the boomerang spectrum of the power mapping over , where , is a prime, is a positive integer and $\gcd(k…