{"id":"W2118518205","doi":"10.1002/jcd.20117","title":"Binary caps with many free pairs of points","year":2006,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Simon Fraser University","keywords":"Combinatorics; Mathematics; Cardinality (data modeling); Maximization; Point (geometry); Binary number; Upper and lower bounds; Space (punctuation); Discrete mathematics; Arithmetic; Computer science; Geometry; Mathematical optimization","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052986,0.0001448435,0.0003574743,0.0001765417,0.00003517505,0.00001852198,0.0002924238,0.00008902398,0.00003015678],"category_scores_gemma":[0.00002236245,0.0001147672,0.000130868,0.000219976,0.00004947156,0.00017994,0.00001313742,0.0002091498,0.000004334431],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004234986,"about_ca_system_score_gemma":0.00003724647,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000137939,"about_ca_topic_score_gemma":0.000001601111,"domain_scores_codex":[0.9988053,0.0001000143,0.000513835,0.0000633974,0.0003384749,0.0001789995],"domain_scores_gemma":[0.9992427,0.00009324982,0.0002261297,0.0002129146,0.0001507806,0.00007417267],"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":[0.001746088,0.001001824,0.01125459,0.0007176602,0.0009274261,0.0009796908,0.0008621109,0.01963965,0.1656965,0.7207248,0.07601062,0.0004390907],"study_design_scores_gemma":[0.01807591,0.005924654,0.02553493,0.001420048,0.0004823687,0.001020978,0.0007036917,0.001261436,0.1733429,0.7601372,0.0108382,0.001257695],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.987239,0.0005477501,0.003117286,0.00003061838,0.003939118,0.0001158606,0.000005821889,0.00004580632,0.004958745],"genre_scores_gemma":[0.999011,0.00001021888,0.0004461668,0.000003605717,0.0004553117,0.000001703038,7.048473e-7,0.00002875428,0.00004248835],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06517242,"threshold_uncertainty_score":0.468007,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007973961774066958,"score_gpt":0.1837668207934113,"score_spread":0.1757928590193443,"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."}}