{"id":"W2275630553","doi":"10.1016/j.ffa.2014.04.002","title":"Roots and coefficients of polynomials over finite fields","year":2014,"lang":"en","type":"article","venue":"Finite Fields and Their Applications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Finite field; Polynomial; Field (mathematics); Discrete mathematics; Pure mathematics; Combinatorics; 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":[0.0002024686,0.00009514295,0.000135177,0.00008218527,0.0001416011,0.00005377557,0.0002709164,0.00008632258,0.00001932197],"category_scores_gemma":[0.00002772278,0.00007890532,0.00004457697,0.00022203,0.00006876804,0.00007624869,0.0001554264,0.00009264883,0.00000381674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000001419115,"about_ca_system_score_gemma":0.000008402735,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000130271,"about_ca_topic_score_gemma":0.000007683088,"domain_scores_codex":[0.9993988,0.00003734911,0.0001594926,0.0002242088,0.00005661111,0.0001235009],"domain_scores_gemma":[0.9988158,0.0006164162,0.00007004473,0.0004030452,0.00003134322,0.00006332887],"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":[0.0000104666,0.0001018244,0.001566885,0.00003772246,0.00002747478,1.568625e-7,0.001191556,0.0001008449,0.0004371463,0.8083384,0.0003348129,0.1878527],"study_design_scores_gemma":[0.001534154,0.0006717708,0.02597272,0.0001176704,0.00004462229,0.00001093772,0.0001464162,0.09757826,0.00530622,0.621097,0.2466777,0.0008425572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04487921,0.000160907,0.9505426,0.0004131659,0.00004841224,0.0001394458,0.0000156519,0.000043853,0.003756727],"genre_scores_gemma":[0.9980145,0.00004563336,0.001339291,0.0004323536,0.00004402987,0.00003949811,0.000003995369,0.000004012189,0.00007667072],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9531353,"threshold_uncertainty_score":0.3217665,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00916860328750755,"score_gpt":0.2230520995056851,"score_spread":0.2138834962181775,"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."}}