{"id":"W4393258258","doi":"10.1007/978-3-031-56232-7_8","title":"Generating Supersingular Elliptic Curves over $$\\mathbb {F}_p$$ with Unknown Endomorphism Ring","year":2024,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Supersingular elliptic curve; Endomorphism ring; Endomorphism; Elliptic curve; Computer science; Ring (chemistry); Elliptic curve point multiplication; Discrete mathematics; Mathematics; Pure mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004429203,0.0008481786,0.0006777356,0.0009186604,0.00101245,0.002026458,0.0007423317,0.0009535372,0.01224291],"category_scores_gemma":[0.001005762,0.0004118805,0.000903247,0.0006549797,0.001266139,0.002418015,0.002236404,0.001561014,0.003284397],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007501978,"about_ca_system_score_gemma":0.0004167705,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001508717,"about_ca_topic_score_gemma":0.0001962208,"domain_scores_codex":[0.9995963,0.00007683899,0.00001486969,0.00006845558,0.0001584214,0.00008517234],"domain_scores_gemma":[0.9996437,0.00008740374,0.00004672009,0.0001021418,0.0000574673,0.00006258462],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008791505,0.0000528903,0.0003188106,0.0000709934,0.000010958,0.000295167,0.0002873015,0.002463774,0.005803,0.9679359,0.002787289,0.01988602],"study_design_scores_gemma":[0.00005501317,0.0001019445,0.000420323,0.0000398893,0.00002327024,0.0005909477,0.0001682961,0.01907562,0.01247232,0.9476912,0.01933049,0.0000307401],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5099155,0.0006046215,0.2426545,0.001713983,0.0007071064,0.000243792,0.0005910237,0.0009395471,0.2426298],"genre_scores_gemma":[0.8586864,0.0005636622,0.03430144,0.0002621815,0.0004066944,0.000108873,0.0006368328,0.0006151611,0.1044188],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01224291,"threshold_uncertainty_score":0.04095662,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01007614382330169,"score_gpt":0.2181264684671942,"score_spread":0.2080503246438926,"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."}}