{"id":"W2947382456","doi":"10.1145/3338637.3338639","title":"Computing isomorphisms and embeddings of finite fields","year":2019,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Finite field; Embedding; Automorphism; Prime (order theory); Prime power; Field (mathematics); Mathematics; Combinatorics; Discrete mathematics; Physics; Pure mathematics; Computer science","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":[0.002569272,0.0009608627,0.0009881788,0.002465443,0.001182498,0.00460705,0.002049814,0.001207407,0.00404375],"category_scores_gemma":[0.01521143,0.0009907396,0.00145285,0.003088543,0.003992864,0.01553516,0.004939466,0.002346922,0.001048677],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00197111,"about_ca_system_score_gemma":0.001085163,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001579965,"about_ca_topic_score_gemma":0.001827631,"domain_scores_codex":[0.9963522,0.0009370637,0.0003926663,0.0009356483,0.0008348071,0.0005475376],"domain_scores_gemma":[0.9904018,0.005637179,0.00072464,0.002033166,0.0006802449,0.0005229495],"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":[0.0007853908,0.0003635691,0.01064246,0.0005190938,0.0001399724,0.000518829,0.003047109,0.04132411,0.008801734,0.7070339,0.006031833,0.220792],"study_design_scores_gemma":[0.00004623779,0.0001027034,0.0007218522,0.00006105507,0.00003526957,0.0001453757,0.0005711953,0.04798116,0.005487594,0.9392153,0.005597954,0.00003436782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4265189,0.0012311,0.5556735,0.001130829,0.0001915185,0.0001190521,0.0008908555,0.004143248,0.01010102],"genre_scores_gemma":[0.7366509,0.0005157221,0.2539853,0.000171323,0.0001918695,0.0001115666,0.002212979,0.000499005,0.005661409],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00460705,"threshold_uncertainty_score":0.01430148,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02111057609427823,"score_gpt":0.2708240089321153,"score_spread":0.2497134328378371,"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."}}