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Table 3 Probabilities estimated by comparing LLL with DEEP, SLLL, and VLLL

From: Experimental quality evaluation of lattice basis reduction methods for decorrelating low-dimensional integer least squares problems

Measures

Methods

DEEP

SLLL

VLLL

O(B)

PBetter

0.202

0.152

0.725

 

PWorse

0.739

0.771

0.275

θ(B)

PBetter

0.275

0.368

0.558

 

PWorse

0.648

0.527

0.347

κ B

PBetter

0.428

0.364

0.790

 

PWorse

0.514

0.559

0.210

  1. O(B), θ(B) and κ B are the same as in Table 1. PBetter, the probability with which LLL performs better; PWorse, the probability with which DEEP, SLLL, and VLLL perform better than LLL. Otherwise, LLL produces the same results as the other reduction methods.