{"id":"W2158050621","doi":"10.1002/jcd.20249","title":"Hadamard matrices of small order and Yang conjecture","year":2010,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Hadamard transform; Combinatorics; Hadamard matrix; Order (exchange); Equivalence (formal languages); Hadamard's maximal determinant problem; Equivalence class (music); Class (philosophy); Matrix (chemical analysis); Complex Hadamard matrix; Discrete mathematics; Mathematical analysis; Computer science","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":[0.0004983378,0.0001082301,0.0002886969,0.0001253619,0.00003067231,0.00003051936,0.0001520103,0.0001302126,0.00003187412],"category_scores_gemma":[0.00006790551,0.00008792508,0.0000740348,0.0001560524,0.00004207305,0.0001046434,0.0000109613,0.0003483022,0.000001496562],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007153377,"about_ca_system_score_gemma":0.00002562106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004022628,"about_ca_topic_score_gemma":0.00000296354,"domain_scores_codex":[0.9992729,0.00005189594,0.0003554411,0.00005051968,0.0001501672,0.0001190219],"domain_scores_gemma":[0.9993581,0.0001401422,0.0001671189,0.0001006273,0.0001466932,0.00008734682],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003636676,0.0001841105,0.005511559,0.0006214233,0.00059932,0.0001111374,0.001682958,0.001705007,0.6771399,0.303598,0.003998465,0.004484478],"study_design_scores_gemma":[0.01771834,0.004462222,0.01323443,0.0009598739,0.0009119072,0.002309191,0.0009546524,0.003048832,0.3311724,0.537418,0.08587985,0.001930325],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9893335,0.0006770165,0.001586503,0.00002280304,0.007329956,0.00007368758,0.000002235251,0.00002085867,0.0009534819],"genre_scores_gemma":[0.9988039,0.00004382753,0.0006763478,0.000004757024,0.0004376693,7.979156e-7,2.248308e-7,0.00001656146,0.0000158872],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3459675,"threshold_uncertainty_score":0.3585481,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008780618604829458,"score_gpt":0.2003418539122833,"score_spread":0.1915612353074538,"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."}}