Decoding q-ary lattices in the Lee metric
  q-ary lattices can be obtained from q-ary codes using the so-called Construction A. We investigate these lattices in the Lee metric and show how their decoding process can be related to the associated codes. For prime q we derive a Lee sphere decoding algorithm for q-ary lattices, present a brief discussion on its complexity and some comparisons with the classic sphere decoding. 
Antonio Campello, Grasiele C. Jorge and Sueli I. R. Costa
cs.IT math.CO math.IT