Calderbank, AR; Sloane, NJA, *NEW TRELLIS CODES BASED ON LATTICES AND COSETS.*,
IEEE Transactions on Information Theory, vol. IT-33 no. 2
(1987),
pp. 177-195 .
**Abstract:**

*A new technique is proposed for constructing trellis codes, which provides an alternative to Ungerboeck's method of set partitioning. The new codes use a signal constellation consisting of points from an n-dimensional lattice LAMBDA , with an equal number of points from each coset of a sublattice LAMBDA '. One part of the input stream drives a generalized convolutional code whose outputs are cosets of LAMBDA ', while the other part selects points from these cosets. Several of the new codes are better than those previously known.*