{"id":"W2000564617","doi":"10.1016/j.disc.2007.07.103","title":"Small proper double blocking sets in Galois planes of prime order","year":2007,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Combinatorics; Blocking (statistics); Prime (order theory); Discrete mathematics; Disjoint sets; Blocking set; Disjoint union (topology); Set (abstract data type); Line (geometry); Order (exchange); Projective space; Pure mathematics; Geometry; Projective test; Collineation; Computer science","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":[0.003502245,0.0002880885,0.0005810134,0.0003492626,0.00006198828,0.00004679997,0.0005234863,0.0001837705,0.0002138659],"category_scores_gemma":[0.001049676,0.0002302825,0.00009964224,0.0006363953,0.0001624442,0.0001024001,0.0002371165,0.000369925,0.0000696574],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000780972,"about_ca_system_score_gemma":0.00007754711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005038749,"about_ca_topic_score_gemma":0.000256485,"domain_scores_codex":[0.9972595,0.00006970172,0.0009587232,0.0003013745,0.000744451,0.0006662706],"domain_scores_gemma":[0.9974862,0.00107212,0.0002964639,0.000745018,0.000284925,0.0001152982],"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":[0.001086438,0.003072487,0.01490193,0.00967416,0.0004146985,0.0003804496,0.06489598,0.00008421809,0.02894599,0.871994,0.0008814642,0.00366815],"study_design_scores_gemma":[0.007278496,0.0005173402,0.0019465,0.002625643,0.0001998862,0.0002109172,0.01180406,0.008506319,0.1647563,0.799027,0.001296315,0.001831258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9569549,0.00005517051,0.008236879,0.00009654021,0.00006098842,0.0009470624,0.00001745362,0.00009846486,0.03353254],"genre_scores_gemma":[0.8901819,0.000006590913,0.1069789,0.0000208529,0.00005241234,0.00003319946,0.00001987121,0.0001153745,0.002590848],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1358103,"threshold_uncertainty_score":0.9390649,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1205505483887887,"score_gpt":0.3578941166804534,"score_spread":0.2373435682916647,"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."}}