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…
On many-to-one property of generalized cyclotomic mappings
Yanbin Zheng, Yang Zhang, Zhengbang Zha +2
The generalized cyclotomic mappings over finite fields are those mappings which induce monomial functions on all cosets of an index subgroup of the mu…
The Lee weight distributions of several classes of linear codes over
Zhexin Wang, Nian Li, Xiangyong Zeng +1
Let denote the ring of integers modulo . The Galois ring GR, which consists of elements, represents the Galois extension of degree over $\mathbb{…
On -Twisted Generalized Reed-Solomon Codes
Zhao Hu, Liang Wang, Nian Li +2
Twisted generalized Reed-Solomon (TGRS) codes are an extension of the generalized Reed-Solomon (GRS) codes by adding specific twists, which attract much attention recently. This pa…