Identity Based Encryption (IBE) is a serious alternative of Public Key Infrastructure when considering distributed systems such as wireless sensors network, multi-site enterprise, manufacturing sites, and so on. In particular, Revocable Hierarchical IBE (RHIBE) provides all functionalities required for an operational cryptography deployment. This paper proposes a parameter analysis, and a software implementation of one of the most advanced post-quantum RHIBE. The objective is to quantify the performances in software and to provide a concrete set of parameters for a given level of security. For the best of our knowledge, this was not done from previous works that only provide order of magnitudes about parameters and instances sizes. Regarding applications and from today, post-quantum RHIBE lead to very large keys and ciphertext size, letting it difficult to consider such cryptosystems for constraint devices.