{"id":"W2023845030","doi":"10.1090/s0002-9939-06-08611-4","title":"Sequences of consecutive smooth polynomials over a finite field","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Finite field; Mathematics; Field (mathematics); Pure mathematics; Combinatorics; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008977401,0.001095531,0.000560532,0.001738955,0.001970324,0.001880153,0.0008953908,0.000769334,0.01645782],"category_scores_gemma":[0.00615653,0.0005413938,0.001035417,0.00161513,0.001856366,0.003873488,0.002255093,0.002249937,0.003452698],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001727341,"about_ca_system_score_gemma":0.0008530745,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001940301,"about_ca_topic_score_gemma":0.002627608,"domain_scores_codex":[0.9988037,0.0002091424,0.00005559438,0.0002563595,0.0004351824,0.0002399268],"domain_scores_gemma":[0.9973023,0.001090039,0.0002730168,0.0003187698,0.000746995,0.0002689138],"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":[0.0002680548,0.00009474793,0.001698334,0.0003355615,0.00004301644,0.001114459,0.0009424992,0.002648236,0.008436158,0.9287894,0.009653488,0.04597591],"study_design_scores_gemma":[0.0001538408,0.0002344274,0.004865116,0.0002702799,0.00008841871,0.00203441,0.000995576,0.0244639,0.02262671,0.8575559,0.08655824,0.0001530652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3648247,0.001554697,0.4601003,0.00335766,0.001465745,0.0001630088,0.001809505,0.00323203,0.1634922],"genre_scores_gemma":[0.8269603,0.00125555,0.09746073,0.0006815883,0.000510006,0.000209997,0.002048909,0.001370394,0.06950256],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01645782,"threshold_uncertainty_score":0.05505693,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008015191550753458,"score_gpt":0.2334781604944643,"score_spread":0.2254629689437109,"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."}}