Block Korkin-Zolotarev algorithm generalization and their practical   implementation (Russian)
  We propose a practical algorithm for block Korkin-Zolotarev reduction, a concept introduced by Schnorr, using CPU arbitrary length Householder QR-decomposition for orthogonalization and double precision OpenCL GPU Finke-Post shortest vector enumeration. Empirical tests was used on random lattices in the sense of Goldstein and Mayer. 
Vasiliy Usatyuk
cs.DM