Algebraic 3x3, 4x4, 6x6 Space-Time Codes with non-vanishing Determinants
Ghaya Rekaya, Jean‐Claude Belfiore, Emanuele Viterbo · PORTO Publications Open Repository TOrino (Politecnico di Torino) · 2004
In this paper we present algebraic constructions of 3 3, 4 4 and 6 6 Space-Time Codes, achieving full rate and full diversity. These codes have non-vanishing (in fact fixed) minimum determinants when the rate goes to infinity. Their construction is based on cyclic algebras with center equal to an algebraic field based on cyclotomic fields .