{"id":"W2170886510","doi":"10.1002/jcd.21323","title":"Hadamard Matrices of Order 32","year":2012,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":76,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"Institute for Research in Fundamental Sciences; University of Lethbridge","keywords":"Mathematics; Hadamard transform; Combinatorics; Hadamard matrix; Complex Hadamard matrix; Hadamard's inequality; Hadamard's maximal determinant problem; Equivalence (formal languages); Sequence (biology); Order (exchange); Discrete mathematics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008075973,0.0001050046,0.0003008369,0.0001449207,0.00002561594,0.00001529171,0.0001852969,0.0000861467,0.00005308195],"category_scores_gemma":[0.00005891772,0.00008775435,0.000124464,0.0002526788,0.00002307834,0.0003084302,0.000009795863,0.000169258,0.00001260775],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002792563,"about_ca_system_score_gemma":0.00002397011,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001877438,"about_ca_topic_score_gemma":9.053511e-8,"domain_scores_codex":[0.9989557,0.00009239445,0.0004651467,0.00003213047,0.0002613151,0.0001933169],"domain_scores_gemma":[0.9992931,0.0001250241,0.0002020015,0.0001089414,0.0001630677,0.0001079056],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00076767,0.001105153,0.02593459,0.001057843,0.001605295,0.00005957432,0.004723731,0.004398457,0.2354163,0.6679262,0.052686,0.004319196],"study_design_scores_gemma":[0.01550966,0.003311001,0.019484,0.001362432,0.001219505,0.001076904,0.002186091,0.001063712,0.4775479,0.2294292,0.2455008,0.002308817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9602918,0.004320309,0.006260102,0.00001845481,0.02201028,0.0001163894,0.000002939567,0.00004511272,0.006934599],"genre_scores_gemma":[0.9986441,0.00006120148,0.000349507,0.000004144459,0.0008937609,0.000001052875,2.254917e-7,0.00001884353,0.00002720581],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4384969,"threshold_uncertainty_score":0.3578519,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01570326075954689,"score_gpt":0.2239582354616199,"score_spread":0.208254974702073,"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."}}