On classic n-universal quadratic forms over dyadic local fields

Let n be an integer and n≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ n\ge 2 $$\end{document}. A classic integral quadratic form over local fields is called classic n-universal if it represents all n-ary classic integral quadratic forms. We determine the equivalent conditions and minimal testing sets for classic n-universal quadratic forms over dyadic local fields.