{"id":"W2028694851","doi":"10.1007/s10623-010-9476-7","title":"Swan-like results for binomials and trinomials over finite fields of odd characteristic","year":2011,"lang":"en","type":"article","venue":"Designs Codes and Cryptography","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University; University of Toronto","funders":"","keywords":"Trinomial; Finite field; Mathematics; Combinatorics; Prime (order theory); Prime power; Field (mathematics); Discrete mathematics; Pure mathematics","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":[0.0007604357,0.000232404,0.0004016724,0.000395959,0.0001814775,0.0001072155,0.0003991055,0.0001354272,0.00001306092],"category_scores_gemma":[0.00006441379,0.0002087941,0.0002037072,0.0004336744,0.0002189635,0.0002677287,0.0001263425,0.00009428011,8.285861e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000002747388,"about_ca_system_score_gemma":0.00002306332,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003089196,"about_ca_topic_score_gemma":0.00000672544,"domain_scores_codex":[0.9984799,0.0001143696,0.0004681451,0.0004936482,0.0001273257,0.0003165801],"domain_scores_gemma":[0.9983689,0.0006941381,0.0002434672,0.0004668692,0.00008622958,0.0001404053],"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":[0.002632125,0.0004874904,0.009077579,0.0003856148,0.0004392396,0.00002054672,0.00850523,0.000004723933,0.01214625,0.8702496,0.002702384,0.0933492],"study_design_scores_gemma":[0.01426358,0.008472965,0.2121343,0.000600733,0.0005961984,0.00006957114,0.0005445086,0.007282012,0.05296423,0.6644877,0.03535107,0.003233216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2884499,0.0005926449,0.7085864,0.00007512252,0.0002988616,0.0004878735,0.0001208941,0.0001062547,0.001282075],"genre_scores_gemma":[0.9642448,0.0003373128,0.03499,0.0002944533,0.00004714653,0.00005167553,0.000007427541,0.00001182219,0.0000152977],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.675795,"threshold_uncertainty_score":0.8514376,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05765208783825441,"score_gpt":0.2505242201161221,"score_spread":0.1928721322778676,"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."}}