{"id":"W2005295899","doi":"10.1006/jcta.2000.3060","title":"Bounds on the Number of Affine, Symmetric, and Hadamard Designs and Matrices","year":2000,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":28,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"","keywords":"Affine transformation; Mathematics; Hadamard transform; Combinatorics; Upper and lower bounds; Prime power; Order (exchange); Combinatorial design; Hadamard matrix; Discrete mathematics; Prime (order theory); Pure mathematics; Mathematical analysis","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":[0.008513971,0.002300637,0.002588147,0.003288533,0.002941691,0.007945414,0.004790202,0.003536785,0.01483581],"category_scores_gemma":[0.05488618,0.001939183,0.002103992,0.003493464,0.005075212,0.01102126,0.003491136,0.004222916,0.002280429],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004158204,"about_ca_system_score_gemma":0.003861949,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008028548,"about_ca_topic_score_gemma":0.001588512,"domain_scores_codex":[0.9887045,0.003470593,0.0007437145,0.001971469,0.003461037,0.001648663],"domain_scores_gemma":[0.9049628,0.06919179,0.005984433,0.01123902,0.005014541,0.003607415],"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":[0.002843272,0.0004254875,0.005559407,0.0008358861,0.0002834712,0.0003924424,0.0004682323,0.1001741,0.0195807,0.7788661,0.01410495,0.07646595],"study_design_scores_gemma":[0.0003018587,0.0004631857,0.001787805,0.00017065,0.000202974,0.001045127,0.0001582405,0.1838071,0.01182643,0.7917867,0.008296436,0.0001534399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.422186,0.007833664,0.4485943,0.01011621,0.0008952556,0.0004407937,0.003764109,0.001953518,0.104216],"genre_scores_gemma":[0.8457239,0.003383929,0.1214048,0.001235045,0.001673084,0.0007085582,0.002160775,0.0004264144,0.02328353],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01483581,"threshold_uncertainty_score":0.0496307,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007386910017196912,"score_gpt":0.2042305235186669,"score_spread":0.19684361350147,"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."}}