Full diversity PSK space-time codes

The design of both systematic and non-systematic space-time codes based on linear codes over rings is considered. Existing design rules for algebraic space-time codes are reformulated resulting in the condition that the characteristic polynomial of the parity generation matrix must be irreducible. These new design rules allow a recursive code construction technique to be applied based on the Shur determinant formula. The resulting code construction is such that the corresponding parity check matrix is sparse, enabling the use of the powerful sum-product algorithm for decoding