{"id":"W4391661073","doi":"10.1090/conm/796/16008","title":"Deuring for the people: Supersingular elliptic curves with prescribed endomorphism ring in general characteristic","year":2024,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Academia Sinica","keywords":"Supersingular elliptic curve; Endomorphism ring; Mathematics; Schoof's algorithm; Counting points on elliptic curves; Endomorphism; Elliptic curve; Ring (chemistry); Elliptic curve point multiplication; Cryptography; Edwards curve; Polynomial ring; Modular elliptic curve; Twists of curves; Algebra over a field; Polynomial; Number theory; Order (exchange); Discrete mathematics; Pure mathematics; Algorithm; Quarter period","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009526096,0.0005650788,0.0005950371,0.0007242724,0.0007009406,0.001803141,0.00117284,0.0006777663,0.01018308],"category_scores_gemma":[0.002850518,0.0004256403,0.0006338324,0.001085545,0.001347449,0.004405204,0.003027205,0.001646148,0.003653257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009002064,"about_ca_system_score_gemma":0.001135288,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007303701,"about_ca_topic_score_gemma":0.001107681,"domain_scores_codex":[0.9991616,0.0001156099,0.00006077549,0.0001925636,0.0003416617,0.0001278831],"domain_scores_gemma":[0.9988146,0.000332552,0.0001211842,0.0005401559,0.00009748602,0.00009402753],"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":[0.001182871,0.0002512128,0.007849959,0.0003786207,0.00005620062,0.001275084,0.001951287,0.02945136,0.04334863,0.5204186,0.02048106,0.373355],"study_design_scores_gemma":[0.0004283996,0.0003909754,0.003248364,0.0001436288,0.00006707748,0.001656762,0.0008416711,0.3141574,0.1637065,0.4243066,0.09089995,0.0001526394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1881153,0.0001718442,0.7706972,0.0007895656,0.00007758614,0.0001809078,0.000458294,0.01691916,0.02259022],"genre_scores_gemma":[0.5854063,0.0002237605,0.3989613,0.0001702352,0.00005625551,0.000110506,0.001260963,0.002065248,0.01174554],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01018308,"threshold_uncertainty_score":0.03406584,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02011824785244935,"score_gpt":0.2495519920542751,"score_spread":0.2294337442018258,"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."}}