{"id":"W2168975319","doi":"10.1007/978-3-642-14518-6_19","title":"A Subexponential Algorithm for Evaluating Large Degree Isogenies","year":2010,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":17,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Isogeny; Degree (music); Elliptic curve; Morphism; Endomorphism ring; Prime ideal; Prime (order theory); Principal ideal; Supersingular elliptic curve; Kernel (algebra); Modular elliptic curve; Homomorphism; Discrete mathematics; Pure mathematics; Combinatorics; Endomorphism","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001789905,0.0005768467,0.0005611947,0.001048025,0.0007077554,0.0007160291,0.003533814,0.000516012,0.00002675634],"category_scores_gemma":[0.0001331743,0.0005147252,0.0003630244,0.0006311912,0.0007009708,0.0005062874,0.001365887,0.001047495,0.00002045526],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008761148,"about_ca_system_score_gemma":0.0005666428,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001729558,"about_ca_topic_score_gemma":0.0001552179,"domain_scores_codex":[0.9955447,0.00003781322,0.0005664011,0.001711368,0.001130458,0.001009238],"domain_scores_gemma":[0.9969142,0.0007456316,0.0003141801,0.001401917,0.0004256825,0.00019841],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000004608576,0.00003890745,0.00001343,0.00003055025,0.00001985282,0.00002780566,0.0005761239,0.0004031995,0.001020437,0.01125508,0.000007848338,0.9866022],"study_design_scores_gemma":[0.0007200814,0.0003720222,0.0001157738,0.0001949244,0.00002620703,0.0000911428,2.531285e-7,0.7492003,0.004002994,0.241938,0.002526133,0.0008121309],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0001368984,0.0007044704,0.9938918,0.0003782756,0.003513784,0.0007667943,0.00002803336,0.0001835876,0.0003963629],"genre_scores_gemma":[0.01004058,0.00002538326,0.9883424,0.0005795308,0.000775177,0.00003851797,0.00001036985,0.00004100493,0.0001470165],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.98579,"threshold_uncertainty_score":0.9997304,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0306241494359271,"score_gpt":0.2842703214134102,"score_spread":0.2536461719774831,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}