{"id":"W2020189493","doi":"10.1090/s0025-5718-2011-02555-x","title":"The distance to an irreducible polynomial, II","year":2011,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Simon Fraser University","keywords":"Mathematics; Combinatorics; Polynomial; Integer (computer science); Degree (music); Irreducible polynomial; Reciprocal polynomial; Discrete mathematics; Matrix polynomial; Mathematical analysis; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001487123,0.0005430624,0.001082184,0.001188877,0.002400273,0.002661144,0.0008995669,0.001585703,0.004577883],"category_scores_gemma":[0.01359898,0.0004685656,0.0006501584,0.001271707,0.004277351,0.00635374,0.002181607,0.004358331,0.001518992],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003148312,"about_ca_system_score_gemma":0.0010193,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001758295,"about_ca_topic_score_gemma":0.0007427637,"domain_scores_codex":[0.9988876,0.0003412084,0.00004194816,0.0003664712,0.0001901748,0.0001726729],"domain_scores_gemma":[0.9946852,0.004057183,0.0003754256,0.0003451928,0.000283547,0.0002534432],"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":[0.0006066642,0.00005670973,0.004117508,0.0001694038,0.00005261315,0.0001065978,0.0005621165,0.004740357,0.001850423,0.9283911,0.0303225,0.02902411],"study_design_scores_gemma":[0.0001015199,0.000236323,0.003962094,0.0001389527,0.00006685572,0.0004597905,0.0004379697,0.01848913,0.002514884,0.913868,0.0596576,0.00006687396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5549862,0.02890721,0.08027712,0.1344299,0.004156351,0.000108794,0.000860372,0.0003553788,0.1959186],"genre_scores_gemma":[0.9455865,0.005506081,0.01299984,0.003837339,0.002365597,0.00008523894,0.0004776766,0.0001098499,0.02903192],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004577883,"threshold_uncertainty_score":0.02284276,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03058943922189559,"score_gpt":0.2600943008094105,"score_spread":0.229504861587515,"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."}}