Byzantine broadcast is one of the fundamental problems in distributed computing. Many of its practical applications, from multiparty computation to consensus mechanisms for blockchains, require increasingly weaker trust assumptions, as well as scalability for an ever-growing number of users n. This rules out existing solutions which run in a linear number of rounds in n or rely on trusted setup requirements. In this paper, we propose the first sublinear-round and trustless Byzantine broadcast protocol for the dishonest majority setting. Unlike previous sublinear-round protocols, our protocol assumes neither the existence of a trusted dealer who honestly issues keys and correlated random strings to the parties nor random oracles. Instead, we present a solution whose setup is limited to an unstructured uniform reference string and a plain public key infrastructure (a.k.a. bulletin-board PKI).