{"id":"W2144706139","doi":"10.1109/isit.2004.1365583","title":"On the zeta functions of two towers of function fields","year":2004,"lang":"en","type":"article","venue":"","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Jacobian matrix and determinant; Hyperelliptic curve cryptography; Discrete logarithm; Mathematics; Finite field; Abelian group; Riemann zeta function; Elliptic curve; Hyperelliptic curve; Pure mathematics; Function (biology); Elliptic function; Logarithm; Discrete mathematics; Applied mathematics; Mathematical analysis; Elliptic curve cryptography; Computer science; Public-key cryptography","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":[0.001930892,0.0007700048,0.0008627643,0.003307282,0.001579894,0.002528548,0.0008425335,0.0009074117,0.00356103],"category_scores_gemma":[0.008800829,0.0003853809,0.0007285845,0.0007990496,0.005269841,0.00450494,0.002103621,0.001515123,0.0003813426],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001640755,"about_ca_system_score_gemma":0.0005935254,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008927266,"about_ca_topic_score_gemma":0.000375995,"domain_scores_codex":[0.9994296,0.000149662,0.00002396959,0.00007087009,0.0001669745,0.0001589859],"domain_scores_gemma":[0.9954126,0.002869311,0.0005036792,0.0002251852,0.0002757327,0.0007134039],"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":[0.0003547574,0.00009489794,0.004205504,0.00008015036,0.0000191034,0.0007189403,0.000766398,0.01195579,0.004775845,0.9670656,0.001030441,0.008932743],"study_design_scores_gemma":[0.0001055427,0.0001183929,0.002873751,0.00004984106,0.00002236662,0.0003949118,0.0003736574,0.09377191,0.003341682,0.8973249,0.001562595,0.00006044196],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9592112,0.0003132066,0.02413336,0.000825977,0.00006861399,0.00003940166,0.00008673654,0.00009222831,0.01522928],"genre_scores_gemma":[0.9936835,0.0001643157,0.003176602,0.00004060294,0.0001303362,0.00003246981,0.0001078758,0.00002130686,0.002643157],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00356103,"threshold_uncertainty_score":0.01191282,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01507337845290158,"score_gpt":0.2230687911632948,"score_spread":0.2079954127103932,"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."}}