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An $n$-ary integral quadratic form is a formal expression$Q(x_1,...,x_n)=\sum_{1\leq i,j\leq n}a_{ij}x_ix_j$ in $n$-variables$x_1,...,x_n$, where $a_{ij}=a_{ji} \in \mathbb{Z}$. We present a poly$(n,k,\log p, \log t)$ randomized algorithm that given a quadratic form$Q(x_1,...,x_n)$, a prime $p$, a positive integer $k$ and an integer $t$,samples a uniform solution of $Q(x_1,...,x_n)\equiv t \bmod{p^k}$.

Sampling a Uniform Random Solution of a Quadratic Equation Modulo $p^k$