7 papers
Optimal linear codes with few weights from simplicial complexes
Bing Chen, Yunge Xu, Zhao Hu +2
Recently, constructions of optimal linear codes from simplicial complexes have attracted much attention and some related nice works were presented. Let be a prime power. In thi…
Infinite families of optimal and minimal codes over rings using simplicial complexes
Yanan Wu, Tingting Pang, Nian Li +2
In this paper, several infinite families of codes over the extension of non-unital non-commutative rings are constructed utilizing general simplicial complexes. Thanks to the speci…
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…
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…
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…
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…