6 papers · 1 filter
Complete characterization of the differential spectrum of a Niho type power function
Nian Li, Xi Xie, Rui Xu +2
Power functions with Niho exponents have attracted considerable attention due to their important applications in sequence design, coding theory, and cryptography. This paper invest…
Infinite families of constacyclic codes supporting 3-designs and their applications in coding theory
Hongsheng Hu, Nian Li, Yanan Wu +1
Constacyclic codes over finite fields are of theoretical importance as they are closely related to a number of areas of mathematics such as algebra, algebraic geometry, graph theor…
Construction of -functions with low differential-linear uniformity
Xi Xie, Nian Li, Qiang Wang +2
The differential-linear connectivity table (DLCT), introduced by Bar-On et al. at EUROCRYPT'19, is a novel tool that captures the dependency between the two subciphers involved in…
A new class of S-boxes with optimal Feistel boomerang uniformity
Yuxuan Lu, Sihem Mesnager, Nian Li +2
The Feistel Boomerang Connectivity Table (), which is the Feistel version of the Boomerang Connectivity Table (), plays a vital role in analyzing block ciphers…
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…