The DMT classification of real and quaternionic lattice codes

Laura Luzzi (1) , Roope Vehkalahti (2)

1 ETIS - UMR 8051 - Equipes Traitement de l'Information et Systèmes
2 Department of Communications and Networking [Aalto Univ]

In this paper we consider space-time codes where the code-words are restricted to either real or quaternion matrices. We prove two separate diversity-multiplexing gain trade-off (DMT) upper bounds for such codes and provide a criterion for a lattice code to achieve these upper bounds. We also point out that lattice codes based on Q-central division algebras satisfy this optimality criterion. As a corollary this result provides a DMT classification for all Q-central division algebra codes that are based on standard embeddings.

Domaines: Théorie de l'information [cs.IT]; Théorie des nombres [math.NT]

Laura Luzzi, Roope Vehkalahti. The DMT classification of real and quaternionic lattice codes. IEEE International Symposium on Information Theory (ISIT), IEEE Information Theory Society, Jun 2018, Vail, Colorado, United States. ⟨hal-01740506⟩