{"id":"W2964100793","doi":"10.1016/j.ffa.2018.01.011","title":"A group action on multivariate polynomials over finite fields","year":2018,"lang":"en","type":"article","venue":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Mathematics; Finite field; Polynomial ring; Invariant (physics); Prime power; Invariant theory; Invariant polynomial; Prime (order theory); Action (physics); Polynomial; Finite group; Pure mathematics; Combinatorics; Group ring; Algebra over a field; Discrete mathematics; Group (periodic table); Matrix polynomial; Mathematical analysis","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":[0.0007408878,0.0004993746,0.0003274734,0.001074341,0.001116888,0.001474984,0.0003945594,0.0006057699,0.008145289],"category_scores_gemma":[0.002074416,0.0001761123,0.0006014085,0.001139639,0.003534569,0.002700143,0.001967012,0.001741696,0.0009846418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000888074,"about_ca_system_score_gemma":0.0007370517,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009761145,"about_ca_topic_score_gemma":0.0006963402,"domain_scores_codex":[0.9991761,0.0001882235,0.00003184492,0.0001991464,0.0002008667,0.0002039215],"domain_scores_gemma":[0.9990133,0.0002900781,0.0002125915,0.0002262227,0.0001151163,0.0001425767],"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":[0.00003715018,0.00001340661,0.0003672677,0.00003698273,0.000004297506,0.00008196335,0.0004221064,0.0008836881,0.001586969,0.9846228,0.001177502,0.010766],"study_design_scores_gemma":[0.00001624519,0.00007601736,0.0008417201,0.00003765283,0.00001131961,0.0003697757,0.0002448975,0.004467814,0.002092961,0.966184,0.0256366,0.00002115939],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.492451,0.004374893,0.2993565,0.006922453,0.001132209,0.00008610434,0.0005533213,0.0003439978,0.1947796],"genre_scores_gemma":[0.9573327,0.00171522,0.01634884,0.0004272815,0.0008071141,0.00003709039,0.000184119,0.00006821153,0.02307941],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008145289,"threshold_uncertainty_score":0.02724874,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02954012790860533,"score_gpt":0.2661090079301746,"score_spread":0.2365688800215693,"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."}}