{"id":"W2762977785","doi":"10.1515/spma-2018-0002","title":"Construction of symmetric Hadamard matrices of order 4v for v = 47, 73, 113","year":2018,"lang":"en","type":"article","venue":"Special Matrices","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hadamard transform; Complex Hadamard matrix; Hadamard's inequality; Hadamard's maximal determinant problem; Hadamard product; Cover (algebra)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002260012,0.0001341143,0.0003015441,0.0004387487,0.00005560553,0.00001889978,0.0001801477,0.0001032397,0.0001942436],"category_scores_gemma":[0.00006187766,0.0001264396,0.0001051143,0.001196202,0.0001266172,0.0001433252,0.00001732161,0.00005353088,0.00002709266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001871614,"about_ca_system_score_gemma":0.00001672908,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004072504,"about_ca_topic_score_gemma":0.00003004946,"domain_scores_codex":[0.9990488,0.00002549195,0.0004224954,0.0001367266,0.0001764397,0.0001900104],"domain_scores_gemma":[0.9992733,0.0001385994,0.0001756466,0.0001683484,0.0002041811,0.00003992218],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0006377173,0.0002286077,0.02450273,0.005748584,0.0008627333,0.000004827379,0.002282827,0.0007770252,0.0257799,0.7860856,0.03273911,0.1203503],"study_design_scores_gemma":[0.005416144,0.002202177,0.02185904,0.0006689922,0.0008515389,0.00008877774,0.00559543,0.005815549,0.2654973,0.09363464,0.5961758,0.0021946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9373728,0.001542309,0.002519374,0.0000191665,0.003821179,0.0004365134,0.0000952636,0.0001321264,0.05406126],"genre_scores_gemma":[0.9940965,0.0001129366,0.003344088,0.000003866445,0.002302753,0.00001432693,0.000004755214,0.00002426617,0.00009647263],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.692451,"threshold_uncertainty_score":0.5156055,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006837211532872308,"score_gpt":0.2105299358787232,"score_spread":0.2036927243458508,"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."}}