Optimized Voronoi-Based Algorithms for Parallel Shortest Vector Computation

Abstract

Voronoi-cell-based algorithm by Micciancio et al. 1.2.2 Relevant vectors by Agrell et al. 1.3 EXPERIMENTAL SETUP 1.4 ALGORITHM ANALYSIS 1.4.1 Correlation between the norm of target vectors and solution vectors 1.4.2 Percentage of target vectors that generate the shortest vector 1.5 ALGORITHMIC OPTIMIZATIONS 1.5.1 Pruned decoding 1.5.1.1 Simple pruning. 1.5.1.2 Gaussian pruning. 1.5.1.3 Combined pruning. 1.5.2 Increasing norm sort 1.6 PARALLEL IMPLEMENTATIONS FOR CPUS AND GPUS 1.6.1 CPU 1.6.1.1 Original version (no pruning and no presorting). 1.6.1.2 Pruned version without sorting. 1.6.1.3 Pruned version with sorting.