Shenxing Zhang

collaborators

2 papers

math.CO2026

Existence of generalized bent functions in the exceptional $q \equiv 2 (mod 4)$ , odd-dimensional case

Jianing Li, Shenxing Zhang, Shi Ying

We resolve an open problem of Kumar, Scholtz, and Welch (1985) by constructing generalized bent functions from $(Z / q Z)^{m}$ to $Z / q Z$ in the excep…

cs.IT2026

On quadratic binomial vectorial functions with maximal bent components

Xianhong Xie, Yi Ouyang, Shenxing Zhang

Assume $n = 2 m \geq 2$ and let $F (x) = x^{d_{1}} + x^{d_{2}}$ be a binomial vectorial function over $\F_{2^n}$ possessing the maximal number (i.e. $2^{n} - 2^{m}$ ) of bent components. Suppose the $…

Existence of generalized bent functions in the exceptional q≡2(mod4), odd-dimensional case

On quadratic binomial vectorial functions with maximal bent components

Existence of generalized bent functions in the exceptional $q \equiv 2 (mod 4)$ , odd-dimensional case