{"id":"W2061818608","doi":"10.1016/j.ffa.2012.02.001","title":"Dickson polynomials over finite fields","year":2012,"lang":"en","type":"article","venue":"Finite Fields and Their Applications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":37,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Finite field; Permutation (music); Discrete orthogonal polynomials; Factorization; Difference polynomials; Classical orthogonal polynomials; Orthogonal polynomials; Algebra over a field; Wilson polynomials; Pure mathematics; Discrete mathematics; Combinatorics; Algorithm","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":[0.0007223306,0.0006352957,0.0006310145,0.003143063,0.001096336,0.001987383,0.0005076003,0.0007340631,0.005845323],"category_scores_gemma":[0.002525064,0.0004131355,0.0003297092,0.003161725,0.002696513,0.003148304,0.001303752,0.001960365,0.0005704152],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001815455,"about_ca_system_score_gemma":0.0005809629,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001056465,"about_ca_topic_score_gemma":0.001039095,"domain_scores_codex":[0.9996771,0.00009670958,0.0000143264,0.00005346431,0.00008318303,0.00007530486],"domain_scores_gemma":[0.9988493,0.000656239,0.0001748835,0.00008278317,0.00009973347,0.0001370176],"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":[0.0000229899,0.00001239738,0.0001554563,0.00002454064,0.0000027562,0.00003259572,0.0001111081,0.0007065955,0.0003529534,0.9924582,0.0006490509,0.005471291],"study_design_scores_gemma":[0.00001511707,0.00001830963,0.0003161975,0.00002487814,0.000008467743,0.0001246039,0.0001025892,0.004303701,0.000488037,0.9865731,0.008008049,0.00001698999],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6168563,0.02424865,0.124022,0.007719481,0.001300484,0.00005328283,0.0004861904,0.0003488811,0.2249648],"genre_scores_gemma":[0.9624358,0.004776078,0.007309751,0.0002954001,0.0008737228,0.00001969705,0.0001148561,0.0000344206,0.02414022],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005845323,"threshold_uncertainty_score":0.0195545,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01497961908001484,"score_gpt":0.2371934982047482,"score_spread":0.2222138791247333,"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."}}