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Attacks on the Search RLWE Problem with Small Errors

Attacks on the Search RLWE Problem with Small Errors

The Ring Learning-with-Errors (RLWE) problem shows great promise for postquantum cryptography and homomorphic encryption. We describe a new attack on the nondual search RLWE problem with small error widths, using ring homomorphisms to finite fields and the chi-square statistical test. In particular, we identify a "subfield vulnerability" and give a …