{"id":"W3036011203","doi":"10.48550/arxiv.1712.00669","title":"Drinfeld Modules with Complex Multiplication, Hasse Invariants and\\n Factoring Polynomials over Finite Fields","year":2017,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Public Works and Government Services Canada; National Science Foundation","keywords":"Mathematics; Finite field; Lift (data mining); Polynomial ring; Hasse principle; Invariant (physics); Multiplication (music); Complex multiplication; Discrete mathematics; Polynomial; Combinatorics; Pure mathematics; Algebraic number field; Elliptic curve","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001234213,0.0001280378,0.0001316793,0.00009825663,0.0006079903,0.0002579678,0.0009201755,0.00006035158,0.00002074388],"category_scores_gemma":[0.0000389487,0.0001259213,0.00004542252,0.0001390267,0.0001356578,0.0008791607,0.0003919514,0.0001032213,0.00001099155],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001546157,"about_ca_system_score_gemma":0.00001856835,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001315749,"about_ca_topic_score_gemma":0.0000807466,"domain_scores_codex":[0.9992177,0.00003708282,0.00008068913,0.000426923,0.00004600313,0.0001915504],"domain_scores_gemma":[0.9986153,0.0001328558,0.0001310108,0.0009636765,0.00005013152,0.0001070615],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00007345366,0.00007144379,0.1937022,0.00001495424,0.00007266799,0.00006873156,0.0006234139,0.002956328,0.0007333663,0.7985317,0.00009177702,0.003059978],"study_design_scores_gemma":[0.001695255,0.0001592903,0.7454579,0.00005963738,0.00003732601,0.000007315168,0.00006281156,0.2118735,0.0009528645,0.03688134,0.002255331,0.0005573966],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5667697,0.000004376267,0.4316695,0.0001369512,0.00005473308,0.00006702572,0.000002508125,0.00007159944,0.001223602],"genre_scores_gemma":[0.9981362,0.00002099869,0.001498366,0.0001061582,0.0000297411,4.771341e-7,0.000001117954,0.000005643549,0.0002012836],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7616504,"threshold_uncertainty_score":0.5134923,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08979091947607205,"score_gpt":0.2016840935770402,"score_spread":0.1118931741009681,"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."}}