{"id":"W2068073986","doi":"10.1002/jcd.20024","title":"On the maximum number of different ordered pairs of symbols in sets of latin squares","year":2004,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Latin square; Prime power; Order (exchange); Set (abstract data type); Prime (order theory); Discrete mathematics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005542411,0.001098326,0.00221163,0.001586742,0.002170894,0.004063556,0.003216978,0.001999142,0.004457218],"category_scores_gemma":[0.04044688,0.00130381,0.001053681,0.002275751,0.003170393,0.007484508,0.003110225,0.001759591,0.0006952964],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001675958,"about_ca_system_score_gemma":0.000899189,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003300747,"about_ca_topic_score_gemma":0.0005959064,"domain_scores_codex":[0.9927168,0.003647874,0.000460738,0.001213713,0.001266228,0.0006945897],"domain_scores_gemma":[0.9109154,0.0724484,0.007174338,0.005379836,0.002066345,0.002015774],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.005585092,0.0009028399,0.0273339,0.001346947,0.0006133061,0.001044469,0.001111728,0.5676016,0.07577579,0.1442869,0.005743843,0.1686536],"study_design_scores_gemma":[0.0003622612,0.001158845,0.00493886,0.0001441742,0.0003296023,0.002224959,0.000771779,0.7552344,0.0762497,0.1535348,0.004917059,0.0001335937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8028343,0.001661012,0.1840774,0.001536361,0.00009098864,0.0001257366,0.0004316655,0.0006886754,0.008553937],"genre_scores_gemma":[0.9096978,0.0004793977,0.08751526,0.0001955463,0.0001352552,0.0001350972,0.000355352,0.0001457538,0.001340505],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005542411,"threshold_uncertainty_score":0.02931142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01885713142779109,"score_gpt":0.2324954432858922,"score_spread":0.2136383118581011,"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."}}