{"id":"W4406239104","doi":"10.1007/978-3-030-71522-9_256","title":"Pairing-Friendly Elliptic Curves","year":2025,"lang":"en","type":"book-chapter","venue":"","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Pairing; Elliptic curve; Mathematics; Chemistry; Physics; Pure mathematics; Condensed matter physics","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":[],"consensus_categories":[],"category_scores_codex":[0.0001393785,0.0002884991,0.0003028689,0.0003108367,0.00009969217,0.0001039545,0.001167461,0.0001969675,0.0003354213],"category_scores_gemma":[0.00001259383,0.0002401278,0.0002925694,0.0001136459,0.00008772829,0.0001278981,0.0004422776,0.0003235122,0.000277553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001734485,"about_ca_system_score_gemma":0.0001156128,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001095705,"about_ca_topic_score_gemma":0.00001408673,"domain_scores_codex":[0.9986032,0.00001297914,0.0002696253,0.0005564906,0.0003123546,0.0002453882],"domain_scores_gemma":[0.998649,0.0001310346,0.0000878773,0.0009630213,0.00008026972,0.00008879695],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[5.777613e-7,0.000008978161,0.000003829029,0.0001711111,0.00005017187,0.00002924091,0.00001191737,0.000001143645,0.000001201397,0.9170064,0.06274271,0.01997273],"study_design_scores_gemma":[0.0001222145,0.00008118611,0.00004200705,0.001276546,0.00005337608,0.00001636186,0.000001376929,0.0005004068,0.00005622111,0.1234186,0.873933,0.0004987363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[3.386654e-7,0.007653494,0.158666,0.001192194,0.0005103292,0.0001650215,0.000003348915,0.0003239258,0.8314854],"genre_scores_gemma":[0.0001360439,0.002872303,0.01821586,0.00132586,0.00007809826,0.000007314192,0.000006228678,0.00001511461,0.9773432],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.8111902,"threshold_uncertainty_score":0.9792127,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008844519215337307,"score_gpt":0.2113317863402546,"score_spread":0.2024872671249173,"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."}}