11 papers
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 Novel Approach for Bent Functions with Dillon-like Exponents and Characterizing Three Classes of Bent Functions via Kloosterman Sums
Ziran Tu, Sihem Mesnager, Xiangyong Zeng +3
Dillon-like Boolean functions are known, in the literature, to be those trace polynomial functions from to , with all the exponents being mult…
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…
The Explicit values of the UBCT, the LBCT and the DBCT of the inverse function
Yuying Man, Nian Li, Zhen Liu +1
Substitution boxes (S-boxes) play a significant role in ensuring the resistance of block ciphers against various attacks. The Upper Boomerang Connectivity Table (UBCT), the Lower B…
On the second-order zero differential spectra of some power functions over finite fields
Yuying Man, Nian Li, Zejun Xiang +1
Boukerrou et al. (IACR Trans. Symmetric Cryptol. 2020(1), 331-362) introduced the notion of Feistel Boomerang Connectivity Table (FBCT), the Feistel counterpart of the Boomerang Co…
On constructing bent functions from cyclotomic mappings
Xi Xie, Nian Li, Qiang Wang +1
We study a new method of constructing Boolean bent functions from cyclotomic mappings. Three generic constructions are obtained by considering different branch functions such as Di…
Several new infinite classes of 0-APN power functions over
Yuying Man, Shizhu Tian, Nian Li +1
The investigation of partially APN functions has attracted a lot of research interest recently. In this paper, we present several new infinite classes of 0-APN power functions over…