{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002451868,0.0006847826,0.0006502985,0.001678751,0.001579554,0.003085361,0.0009873775,0.0007239356,0.01473634],"category_scores_gemma":[0.005186046,0.0004578149,0.001279781,0.001581915,0.003628372,0.004409276,0.00283689,0.001931921,0.002490191],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001360335,"about_ca_system_score_gemma":0.001155934,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005437261,"about_ca_topic_score_gemma":0.0008421748,"domain_scores_codex":[0.9969574,0.001115735,0.0002012761,0.0004684232,0.0008799086,0.0003772037],"domain_scores_gemma":[0.9975811,0.001082419,0.0002239633,0.0005824048,0.0003996532,0.0001304366],"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":[0.00001520278,0.0000139577,0.00004560883,0.00002468841,0.000003647515,0.00001446912,0.00005314506,0.001607609,0.0003564041,0.9866263,0.0006401485,0.01059868],"study_design_scores_gemma":[0.00001400656,0.00003210334,0.00003337974,0.00001833313,0.000005783019,0.00004086995,0.0000273539,0.008209935,0.001071423,0.9806194,0.009914228,0.00001313828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06751943,0.0007840339,0.8028424,0.001048145,0.0003837956,0.000271292,0.0003129522,0.0003669807,0.1264709],"genre_scores_gemma":[0.6027462,0.0009564959,0.3642452,0.0006493512,0.0005792913,0.0006145395,0.0005711223,0.0001668286,0.029471],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01473634,"threshold_uncertainty_score":0.04929793,"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."}}