{"id":"W2951648961","doi":"10.1016/j.jsc.2011.12.008","title":"Fast arithmetics in Artin–Schreier towers over finite fields","year":2011,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Finite field; Tower; Algebraic number field; Arithmetic; Elliptic curve; Torsion (gastropod); Discrete mathematics; 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":[0.0005224703,0.00009096863,0.0001666169,0.0004011564,0.00004081365,0.00006058476,0.0003534394,0.00005666745,0.00004381274],"category_scores_gemma":[0.00004785732,0.00008325324,0.0001088019,0.0004995287,0.00002824919,0.0004197564,0.0000653789,0.0002345103,0.000008834635],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002097725,"about_ca_system_score_gemma":0.00004640626,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008470486,"about_ca_topic_score_gemma":0.000003927406,"domain_scores_codex":[0.9990159,0.00008112058,0.0004130883,0.0001140963,0.0002219696,0.0001538455],"domain_scores_gemma":[0.9992728,0.0001345139,0.0002709692,0.0001303937,0.0001193866,0.00007198904],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001962639,0.0007458787,0.02527997,0.00004363361,0.0001255118,0.0003038975,0.03834984,0.02464809,0.0005593558,0.1305448,0.001055962,0.7781469],"study_design_scores_gemma":[0.002928849,0.001412502,0.2727521,0.0003406285,0.00005231077,0.0002927643,0.0006554566,0.2100529,0.002132691,0.5069827,0.001725329,0.000671796],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3625083,0.00007917415,0.635183,0.0001398943,0.0004168488,0.00003653717,2.376132e-7,0.00001544269,0.001620538],"genre_scores_gemma":[0.973503,0.00001832504,0.02614435,0.0002374475,0.00007672604,7.393992e-7,2.425163e-7,0.000004513278,0.00001466618],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7774751,"threshold_uncertainty_score":0.3394969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0231571955731695,"score_gpt":0.2446057168958486,"score_spread":0.2214485213226791,"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."}}