{"id":"W2075668496","doi":"10.1002/jcd.20108","title":"Orthogonal designs via computational algebra","year":2006,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Orthogonal array; Hadamard matrix; Quaternion; Hadamard transform; Order (exchange); Orthogonal matrix; Combinatorics; Matrix (chemical analysis); Complex Hadamard matrix; Clifford algebra; Algebra over a field; Quaternion algebra; Analogy; Pure mathematics; Orthogonal basis; Division algebra; Geometry; Algebra representation; Mathematical analysis; Taguchi methods","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":[0.000656452,0.0001871217,0.0003395926,0.0002050799,0.00009011818,0.00006415162,0.0002415139,0.0001206408,0.00007482542],"category_scores_gemma":[0.00001961029,0.0001752565,0.0002166137,0.0002543048,0.00004771953,0.0002589186,0.0000106222,0.0002867087,0.00003508004],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007665556,"about_ca_system_score_gemma":0.00006761402,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003283491,"about_ca_topic_score_gemma":7.256191e-7,"domain_scores_codex":[0.9983654,0.000148007,0.0006867445,0.00008969294,0.0004634457,0.0002467012],"domain_scores_gemma":[0.9991301,0.0002232941,0.0001999784,0.0001071272,0.0002209458,0.0001185115],"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":[0.0002126198,0.0003035555,0.00167646,0.00007814692,0.0002815303,0.0002121277,0.000160882,0.1974104,0.02625277,0.7544267,0.01797471,0.00100999],"study_design_scores_gemma":[0.002959513,0.0004782214,0.004998376,0.00009436369,0.00009752835,0.0005730481,0.000035143,0.007153314,0.005362664,0.9709518,0.006829475,0.0004665846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5438485,0.0008756168,0.4343629,0.00005145764,0.01371399,0.0002347281,0.000009332432,0.0001726794,0.006730711],"genre_scores_gemma":[0.9970769,0.000004455111,0.001528127,0.00001529465,0.001297861,0.000002952452,0.000004980452,0.00003424504,0.00003513732],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4532284,"threshold_uncertainty_score":0.7146753,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01213506156045652,"score_gpt":0.2092555400238357,"score_spread":0.1971204784633792,"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."}}