{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000173838,0.00004105768,0.00005178397,0.00005632525,0.00005355875,0.00001009692,0.0002474677,0.00001822046,0.0001376835],"category_scores_gemma":[0.00001536519,0.00002563363,0.00007452998,0.0003117923,0.00004161271,0.00007542719,0.00004013348,0.00005526302,0.00001077523],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003837908,"about_ca_system_score_gemma":0.00001565401,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003272872,"about_ca_topic_score_gemma":0.00001167846,"domain_scores_codex":[0.9996282,0.00002262079,0.00009345654,0.00009107946,0.0001023951,0.00006222982],"domain_scores_gemma":[0.9994628,0.0001186395,0.00003920481,0.0003316551,0.00003288123,0.00001475307],"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":[0.0000101818,0.00004067112,0.00003622171,0.000001771367,0.00001134617,1.047202e-7,0.0001316813,0.0009950977,0.0005880293,0.9919087,0.0004386802,0.005837532],"study_design_scores_gemma":[0.0004338631,0.0006709632,0.0009743364,0.00002687928,0.00001529811,0.000002030735,0.0001405208,0.0005865199,0.01673022,0.9790785,0.001250303,0.00009055708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1197827,0.00001395827,0.8445837,0.001101227,0.0002819689,0.00004656086,4.773404e-7,0.00003884075,0.03415062],"genre_scores_gemma":[0.998566,0.000001704137,0.0008657786,0.0003580814,0.00001135576,0.000002372015,1.980798e-7,0.000001224314,0.0001932517],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8787833,"threshold_uncertainty_score":0.1507538,"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."}}