We explore in this letter the lattice sphere packing representation of a mu
lti-antenna system and the algebraic space-time (ST) codes. We apply the sp
here decoding (SD) algorithm to the resulted lattice code. For the uncoded
system, SD yields, with small increase in complexity, a huge improvement ov
er the well-known V-BLAST detection algorithm. SD of algebraic ST codes exp
loits the full diversity of the coded multi-antenna system, and makes the p
roposed scheme very appealing to take advantage of the richness of the mult
i-antenna environment. The fact that the SD does not depend on the constell
ation size, gives rise to systems with very high spectral efficiency, maxim
um-likelihood performance, and low decoding complexity.