Authors
Johannes Buchmann, Florian Göpfert, Rachel Player, Thomas Wunderer
Publication date
2016/4/7
Book
International Conference on Cryptology in Africa
Pages
24-43
Publisher
Springer International Publishing
Description
The security of many cryptographic schemes has been based on special instances of the Learning with Errors (LWE) problem, e.g., Ring-LWE, LWE with binary secret, or LWE with ternary error. However, recent results show that some subclasses are weaker than expected. In this work we show that LWE with binary error, introduced by Micciancio and Peikert, is one such subclass. We achieve this by applying the Howgrave-Graham attack on NTRU, which is a combination of lattice techniques and a Meet-in-the-Middle approach, to this setting. We show that the attack outperforms all other currently existing algorithms for several natural parameter sets. For instance, for the parameter set , , , this attack on LWE with binary error only requires operations, while the previously best attack requires operations. We additionally present a complete and improved analysis of the attack …
Total citations
201620172018201920202021202220232024799129121387
Scholar articles
J Buchmann, F Göpfert, R Player, T Wunderer - International Conference on Cryptology in Africa, 2016