{"paper":{"title":"On the elliptic curve endomorphism generator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"L\\'aszl\\'o M\\'erai","submitted_at":"2017-06-27T08:08:08Z","abstract_excerpt":"For an elliptic curve $E$ over a finite field we define the point sequence $(P_n)$ recursively by $P_n=\\vartheta (P_{n-1})=\\vartheta ^n(P_0)$ with an endomorphism $\\vartheta \\in\\mathrm{End}(E)$ and with some initial point $P_0$ on $E$. We study the distribution and the linear complexity of sequences obtained from $(P_n)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08710","kind":"arxiv","version":1},"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"}