{"paper":{"title":"On Ring Learning with Errors over the Tensor Product of Number Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"cs.CR","authors_text":"Alberto Pedrouzo-Ulloa, Fernando P\\'erez-Gonz\\'alez, Juan Ram\\'on Troncoso-Pastoriza","submitted_at":"2016-07-18T19:21:21Z","abstract_excerpt":"The \"Ring Learning with Errors\" (RLWE) problem was formulated as a variant of the \"Learning with Errors\" (LWE) problem, with the purpose of taking advantage of an additional algebraic structure in the underlying considered lattices; this enables improvements on the efficiency and cipher expansion on those cryptographic applications which were previously based on the LWE problem. In Eurocrypt 2010, Lyubashevsky et al. introduced this hardness problem and showed its relation to some known hardness problems over lattices with a special structure. In this work, we generalize these results and the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05244","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}