{"id":"W2052391167","doi":"10.1016/j.jcta.2009.03.002","title":"On the asymptotic existence of cocyclic Hadamard matrices","year":2009,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Hadamard transform; Hadamard matrix; Hadamard's inequality; Hadamard three-lines theorem; Mathematics; Hadamard's maximal determinant problem; Complex Hadamard matrix; Order (exchange); Combinatorics; Hadamard product; Binary number; Matrix (chemical analysis); Hadamard three-circle theorem; Pure mathematics; Arithmetic; Mathematical analysis; Chemistry","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":[0.001651307,0.0006744897,0.001057592,0.002837593,0.001517667,0.003089746,0.001418428,0.001686092,0.006515159],"category_scores_gemma":[0.02725056,0.0007538545,0.0005652727,0.001779444,0.003385852,0.003871505,0.002710655,0.002909455,0.000633196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001311191,"about_ca_system_score_gemma":0.0009961649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001348685,"about_ca_topic_score_gemma":0.001230791,"domain_scores_codex":[0.9988154,0.0004253692,0.00004990512,0.0001687399,0.0003340057,0.0002066128],"domain_scores_gemma":[0.9803534,0.01414272,0.001092454,0.001150709,0.0022685,0.0009922063],"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":[0.0001524392,0.00005341509,0.0009059805,0.0001082598,0.00001894263,0.0001967928,0.0003100447,0.009789477,0.00222907,0.9749536,0.002909266,0.008372767],"study_design_scores_gemma":[0.00004175484,0.00004938076,0.0006010552,0.00006913064,0.00001663362,0.000373133,0.0002196125,0.09934558,0.001375993,0.895944,0.001919181,0.00004458598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6321671,0.00301227,0.2123893,0.004176154,0.0005421138,0.00008639545,0.0004083163,0.0004421176,0.1467762],"genre_scores_gemma":[0.9784064,0.0008567138,0.01197505,0.0003710229,0.0003935774,0.00005800266,0.0002263108,0.00006995963,0.007643154],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006515159,"threshold_uncertainty_score":0.02179533,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006055257048665549,"score_gpt":0.1957957617478193,"score_spread":0.1897405046991537,"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."}}