{"id":"W2091235660","doi":"10.1016/j.ffa.2014.09.011","title":"A finite embedding theorem for partial Steiner 3-designs","year":2014,"lang":"en","type":"article","venue":"Finite Fields and Their Applications","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; University of Victoria","keywords":"Steiner system; Mathematics; Combinatorics; Embedding; Steiner tree problem; Prime (order theory); Finite field; Discrete mathematics; Block (permutation group theory); Set (abstract data type); Prime power; Field (mathematics); Pure mathematics; Computer science","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":[0.001030457,0.000890027,0.0007728261,0.001569887,0.001112689,0.002235639,0.0009972175,0.001303542,0.008680572],"category_scores_gemma":[0.003310987,0.0006275026,0.001141784,0.001233438,0.002129547,0.00493521,0.001953999,0.002527365,0.000970348],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001008031,"about_ca_system_score_gemma":0.0004512809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004859512,"about_ca_topic_score_gemma":0.0004590142,"domain_scores_codex":[0.9993081,0.0001792892,0.00004628654,0.000163479,0.000208035,0.00009473808],"domain_scores_gemma":[0.9976882,0.001496693,0.0002021142,0.0002782584,0.0002126127,0.0001221696],"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":[0.00002554724,0.00001781092,0.00008971147,0.00004632481,0.000009621099,0.00003671282,0.000111978,0.002551843,0.0009912382,0.9865893,0.0008163385,0.008713563],"study_design_scores_gemma":[0.00001368502,0.00003189664,0.00008464469,0.0000274273,0.00001313856,0.0001297714,0.00004912764,0.01105596,0.001007569,0.9832827,0.004288586,0.00001548292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1127667,0.001049965,0.8071234,0.001003322,0.0002094011,0.00006926509,0.0003423193,0.0002818564,0.07715379],"genre_scores_gemma":[0.8055646,0.001600933,0.1607881,0.000892346,0.000382615,0.0002659629,0.0005609587,0.0002128505,0.0297317],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008680572,"threshold_uncertainty_score":0.02903944,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01576970395981148,"score_gpt":0.2272848047400897,"score_spread":0.2115151007802782,"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."}}