{"id":"W2065654144","doi":"10.1016/j.jalgor.2005.01.009","title":"Refinements of Miller's algorithm for computing the Weil/Tate pairing","year":2005,"lang":"en","type":"article","venue":"Journal of Algorithms","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":66,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Computation; Cryptography; Algorithm; Hamming weight; Integer (computer science); Hamming distance; Computer science; Field (mathematics); Binary number; Finite field; Pairing; Elliptic curve; Mathematics; Theoretical computer science; Discrete mathematics; Hamming code; Arithmetic; Programming language; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001240056,0.0001431799,0.0002976006,0.0002193843,0.0001988225,0.0000794293,0.001020072,0.00005003242,0.000006287328],"category_scores_gemma":[0.00003925797,0.00009124276,0.0003339035,0.0004178489,0.00007983023,0.0003115248,0.000153381,0.0002308017,0.000002062861],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002949866,"about_ca_system_score_gemma":0.00007061672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009144029,"about_ca_topic_score_gemma":0.000002186459,"domain_scores_codex":[0.9982921,0.00006944085,0.000719336,0.0001629722,0.00045973,0.0002963521],"domain_scores_gemma":[0.9982922,0.0002941721,0.0006669588,0.0002920528,0.0003621456,0.00009245629],"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":[0.00000668715,0.0001149583,0.00009316044,0.00001499342,0.0001337064,0.000008254715,0.0008098407,0.001216727,0.0002314038,0.000604343,0.001325043,0.9954409],"study_design_scores_gemma":[0.003199789,0.0009029263,0.005318552,0.0002904726,0.00009869975,0.0004548057,0.0003961042,0.9271824,0.0108712,0.003322058,0.04759488,0.0003681009],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00960762,0.001375476,0.9854995,0.00241507,0.0007584885,0.0001561548,0.000003883957,0.00002020036,0.0001636309],"genre_scores_gemma":[0.08474067,0.0001502823,0.9140199,0.0002723543,0.0007339377,0.000002137851,4.421067e-7,0.00001317209,0.00006705099],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9950728,"threshold_uncertainty_score":0.3720772,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01407102858777722,"score_gpt":0.2615776276533546,"score_spread":0.2475065990655774,"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."}}