arXiv subjects
Publications and source records attributed to Mengzhen Zhao.
Linear codes with few weights have applications in data storage systems, secret sharing schemes, and authentication codes. In this paper, some kinds of p-ary linear codes with few weights are constructed by use of the given de ning set, where p is a prime. Their weight distributions are determined based on Kloosterman sums over nite elds. In addition, some linear codes we given is minimal.
In this paper we first introduced a domain called generalized Dirichlet fundamental domain $\mathcal{F}^{*}$ for a Fuchsian group $G$ whose generators contain parabolic elements. This allows us to show that a quasisymmetric homeomorphism $h$ being compatible with a convergence Fuchsian group $G$ of first kind is a strongly quasisymmetric homeomorphism if and only if it has a quasiconformal extension $f$ to the upper half plane $\mathbb{H}$ onto itself such that the induced measure $λ_μ=|μ|^{2}/Im(z)dxdy$ by the Beltrami coefficient $μ$ of $f$ is a Carleson measure on the generalized Dirichlet fundamental domain $\mathcal{F}^{*}.$ We also show that the above property also holds for Carleson-Denjoy domains.