In this paper, we will introduce a new constraint on linear space-time block codes that will result in a novel decoupled symbol-by- symbol detection scheme. Based on the new framework, a quasidecoupled space-time code that is applicable to any number of transmit and receive antennas will be proposed. We will also solve a more general case and show that all other known solutions to this problem such as orthogonal designs and Clifford algebra representations, represent special cases of such general solution which will provide an easier framework, to deal with such codes. It is noticeable that the new framework not only provides better understanding of earlier solutions but may also help in solving new useful cases.