Han Huang

activity

20172026

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Showing 2019Show all

2 papers · 1 filter

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…