  In this paper non-group permutation modulated sequences for the Gaussian
channel are considered. Without the restriction to group codes rather than
subsets of group codes, arbitrary rates are achievable. The code construction
utilizes the known optimal group constellations to ensure at least the same
performance but exploit the Gray code ordering structure of multiset
permutations as a selection criterion at the decoder. The decoder achieves near
maximum likelihood performance at low computational cost and low additional
memory requirements at the receiver.
