Han Huang

activity

20172019

collaborators

4 papers

cs.IT2019

Distribution of the minimal distance of random linear codes

Jing Hao, Han Huang, Galyna Livshyts +1

In this paper, we study the distribution of the minimal distance (in the Hamming metric) of a random linear code of dimension $k$ in $F_{q}^{n}$ . We provide quantitative estim…

math.PR2019

A remark on the smallest singular value of powers of Gaussian matrices

Han Huang, Konstantin Tikhomirov

Let $n, k \geq 1$ and let $G$ be the $n \times n$ random matrix with i.i.d. standard real Gaussian entries. We show that there are constants $c_{k}, C_{k} > 0$ depending only on $k$ such tha…

math.MG2018

Ulam Floating Body

Han Huang, Boaz A. Slomka, Elisabeth M. Werner

We study a new construction of bodies from a given convex body in $R^{n}$ which are isomorphic to (weighted) floating bodies. We establish several properties of this new c…

math.MG2017

Approximations of convex bodies by measure-generated sets

Han Huang, Boaz A. Slomka

Given a Borel measure $μ$ on $R^{n}$ , we define a convex set by \[ M(μ)=\bigcup_{\substack{0\le f\le1,\\ \int_{{\mathbb R}^{n}}f\,{\rm d}μ=1 } }\left\{ \int_{{\mathbb R}^…