{"id":"W4232343029","doi":"10.22215/etd/2010-09044","title":"On the existence of irreducible polynomials with prescribed coeffecients over finite fields","year":2010,"lang":"en","type":"dissertation","venue":"","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; Canadian Heritage; University of Ottawa; Library and Archives Canada","funders":"","keywords":"Finite field; Mathematics; Pure mathematics; Combinatorics; Algebra over a field","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003875241,0.0002187525,0.0002373446,0.0001584244,0.0001318966,0.0001276355,0.001405123,0.0002030075,0.0002795167],"category_scores_gemma":[0.00011046,0.0001259418,0.0001330011,0.0004128997,0.00006886023,0.0001403573,0.00006498024,0.0004068722,0.00001720232],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005444302,"about_ca_system_score_gemma":0.00008670787,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005517364,"about_ca_topic_score_gemma":0.0001350637,"domain_scores_codex":[0.9986696,0.00008875595,0.0002261184,0.0004224432,0.0003867575,0.000206375],"domain_scores_gemma":[0.9976797,0.000831535,0.0002338663,0.001099369,0.0001032122,0.00005230268],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0004171903,0.0002280923,0.0001055041,0.0001070505,0.0001013562,0.000005037043,0.003256775,0.00004523497,0.002895509,0.9781295,0.005211961,0.009496795],"study_design_scores_gemma":[0.003987115,0.006457763,0.03824118,0.004013788,0.0003891055,0.00001755788,0.00129625,0.008412578,0.5152417,0.399379,0.01841737,0.004146573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8335587,0.0000808785,0.01901681,0.0002625873,0.002034706,0.0007300059,0.00001436192,0.0001447828,0.1441571],"genre_scores_gemma":[0.9900436,0.000007096313,0.001458907,0.0003461104,0.0000385426,0.00004530602,0.00002073864,0.00001293558,0.008026755],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5787504,"threshold_uncertainty_score":0.5135759,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01268840810658657,"score_gpt":0.2429170443647797,"score_spread":0.2302286362581932,"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."}}