{"id":"W2611888257","doi":"10.1090/mcom/3363","title":"Computing isomorphisms and embeddings of finite fields","year":2018,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Finite field; Isomorphism (crystallography); Embedding; Factorization; Mathematics; Field (mathematics); Polynomial; Algebra over a field; Code (set theory); Discrete mathematics; Combinatorics; Pure mathematics; Algorithm; Computer science; Programming language; Mathematical analysis","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":[0.0003303447,0.00006740199,0.0001551037,0.0001143645,0.00005311697,0.00002591408,0.0002088308,0.00003409365,0.000004422138],"category_scores_gemma":[0.00005567129,0.00006509098,0.00003779123,0.0002406558,0.0001164145,0.00011459,0.0001226241,0.00003934612,0.00000252753],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000002470418,"about_ca_system_score_gemma":0.000009626631,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002227511,"about_ca_topic_score_gemma":4.425852e-7,"domain_scores_codex":[0.9993777,0.00002421145,0.0002678951,0.0001122675,0.0001361226,0.00008176953],"domain_scores_gemma":[0.9990587,0.0003889167,0.000229939,0.0001553592,0.0001432378,0.00002385723],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000009814887,0.0001690593,0.0003375843,0.000379411,0.00004230053,0.000001029336,0.02143487,0.001358792,0.002564537,0.9176411,0.0001729957,0.05588852],"study_design_scores_gemma":[0.0001598035,0.0001959555,0.0003450749,0.0001063278,0.000007447226,0.000004896597,0.00009068252,0.643288,0.006969134,0.348748,0.00001439747,0.0000703461],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3179711,0.00001528056,0.6809871,0.00005058173,0.00005921033,0.00004486099,4.660344e-7,0.00002847414,0.0008429981],"genre_scores_gemma":[0.7381548,0.000001205517,0.2617956,0.00002528962,0.0000152694,3.478029e-7,4.603422e-7,0.000002762721,0.00000423882],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6419291,"threshold_uncertainty_score":0.2654333,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01411134245795388,"score_gpt":0.2583754253024896,"score_spread":0.2442640828445357,"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."}}