[Resource Topic] 2023/1238: A remark on the Independence Heuristic in the Dual Attack

Welcome to the resource topic for 2023/1238

Title:
A remark on the Independence Heuristic in the Dual Attack

Authors: Andreas Wiemers, Stephan Ehlen

Abstract:

Ducas and Pulles in “Does the Dual-Sieve Attack on Learning with Errors even Work?” especially report on experiments they made comparing the distributions of scores for random targets and BDD targets. They discovered that the distribution of scores for BDD targets deviate from the predictions made under the independence heuristic. Here, we want to derive approximations for the distributions which take into
account the dependency that occur in the scores. These approximations lead to new formulas that seem to describe the result in Table 1 of the article quite accurately.

ePrint: https://eprint.iacr.org/2023/1238

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