{"id":"W4382776389","doi":"10.37236/11990","title":"Hadamard Matrices related to Projective Planes","year":2023,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Natural Sciences and Engineering Research Council of Canada; University of Lethbridge","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hadamard transform; Hadamard matrix; Combinatorics; Projective plane; Projective test; Order (exchange); Matrix (chemical analysis); Complex Hadamard matrix; Pure mathematics; Hadamard's inequality; Hadamard's maximal determinant problem; Geometry; Mathematical analysis; Composite material","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003454424,0.0006544736,0.0003407584,0.001655058,0.000889037,0.001960056,0.0004409306,0.0007889903,0.006236591],"category_scores_gemma":[0.001692268,0.0003434386,0.0003894743,0.001107741,0.001414483,0.001800038,0.0008294647,0.001315158,0.0009110928],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007422458,"about_ca_system_score_gemma":0.000442416,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006720591,"about_ca_topic_score_gemma":0.0004701284,"domain_scores_codex":[0.999517,0.00009622989,0.00002999302,0.00008612742,0.0001581057,0.0001125361],"domain_scores_gemma":[0.9992605,0.0001802852,0.0001966476,0.00009149461,0.0001835062,0.00008745911],"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":[0.00003283494,0.00001069242,0.0001557087,0.00002786402,0.000003709064,0.0001832095,0.00009769906,0.002868839,0.004747943,0.9870697,0.0005320794,0.004269723],"study_design_scores_gemma":[0.00002833579,0.00007649927,0.0005029577,0.00003152951,0.000007641464,0.0006635877,0.0001727685,0.0373884,0.009675179,0.9422737,0.009134314,0.00004494403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4365349,0.002669653,0.403527,0.001352444,0.0006751296,0.0001724776,0.0005270586,0.0003153742,0.154226],"genre_scores_gemma":[0.9202725,0.001205507,0.06147299,0.0002754848,0.0003582147,0.00009934635,0.0002712172,0.00006138923,0.01598339],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006236591,"threshold_uncertainty_score":0.02086347,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004127754479292991,"score_gpt":0.2062621492969451,"score_spread":0.2021343948176522,"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."}}