Recent results have shown that the recently proposed Orthogonal Chirp Division Multiplexing (OCDM) system outperforms OFDM under frequency-selective channels in single-input single-output case. In this work, we investigate the viability of OCDM in a multiple-input multiple-output case with different space time coding techniques. In particular, we consider: Alamouti, cyclic delay diversity (CDD) and Alamouti with CDD (ACDD) techniques. The contribution of this paper is twofold. Firstly, we provide a comprehensive model for ACDD, which for the best of the authors' knowledge is not available in the literature. Secondly, we evaluate this model in a vehicular communication scenario based on ITS-G5 standard, and we show that OCDM outperforms OFDM in terms of frame error rate performance.