On the error performance of the $A_n$ lattices
  We consider the root lattice $A_n$ and derive explicit formulae for the moments of its Voronoi cell. We then show that these formulae enable accurate prediction of the error probability of lattice codes constructed from $A_n$. 
Robby McKilliam, Ramanan Subramanian, Emanuele Viterbo, I. Vaughan L.   Clarkson
cs.IT math.IT