5 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…
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 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…
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…
Several classes of bent functions over finite fields
Xi Xie, Nian Li, Xiangyong Zeng +2
Let be the finite field with elements and be the trace function from to , where is a…