10 citations · 18 across the 18 of their papers we have counts for
18 papers
On quadratic binomial vectorial functions with maximal bent components
Xianhong Xie, Yi Ouyang, Shenxing Zhang
Assume and let be a binomial vectorial function over $\F_{2^n}$ possessing the maximal number (i.e. ) of bent components. Suppose the $…
Divisibility of class numbers of quadratic fields and a conjecture of Iizuka
Yi Ouyang, Qimin Song
Assume are positive integers and is odd. In this note, we show that the class number of the imaginary quadratic field is divisible…
On the Algebraic Classification of Non-singular Flexible Kokotsakis Polyhedra
Yang Liu, Yi Ouyang, Dominik L. Michels
Across various scientific and engineering domains, a growing interest in flexible and deployable structures is becoming evident. These structures facilitate seamless transitions be…
On vectorial functions with maximal number of bent components
Xianhong Xie, Yi Ouyang
We study vectorial functions with maximal number of bent components in this paper. We first study the Walsh transform and nonlinearity of $F(x)=x^{2^e}h(\Tr_{2^{2m}/2^m}(x))$, wher…
Factorization of Hilbert class polynomials over prime fields
Jianing Li, Songsong Li, Yi Ouyang
Let be a negative integer congruent to or and be the corresponding order of . The Hilbert class polynomial…
On abelian -ramification torsion modules of quadratic fields
Jianing Li, Yi Ouyang, Yue Xu
For a number field and a prime number , the -torsion module of the Galois group of the maximal abelian pro- extension of unramified outside over …