{"id":"W2005448597","doi":"10.1016/j.disc.2005.02.023","title":"On a new class of productive regular Hadamard matrices","year":2006,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Hadamard transform; Prime power; Corollary; Combinatorics; Hadamard matrix; Order (exchange); Class (philosophy); Integer (computer science); Prime (order theory); Hadamard's inequality; Hadamard's maximal determinant problem; Discrete mathematics; Matrix (chemical analysis); Computer science","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":[0.0001422875,0.0001469369,0.0002437838,0.00008071855,0.00002478145,0.00001871818,0.0001405086,0.00005814958,0.00002819999],"category_scores_gemma":[0.00002308499,0.0001224683,0.00008672425,0.0001885729,0.00003387222,0.0000605761,0.00001286692,0.00007594354,0.00003891128],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000180059,"about_ca_system_score_gemma":0.000008208512,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001134457,"about_ca_topic_score_gemma":0.000003533563,"domain_scores_codex":[0.9992259,0.00001754563,0.0002948602,0.0001156013,0.000188195,0.0001578848],"domain_scores_gemma":[0.9994678,0.0000615425,0.00007781717,0.0003332289,0.0000236929,0.00003590856],"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":[0.00001757061,0.00008376576,0.00005544692,0.001247665,0.0001119099,0.000006200056,0.001757784,0.01279172,0.008939426,0.9596544,0.01494308,0.0003910448],"study_design_scores_gemma":[0.0006584537,0.0001548922,0.0002763928,0.0006964554,0.0001257877,0.00002330032,0.001338985,0.01797355,0.08473537,0.8879869,0.005414911,0.0006149894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.907569,0.0006346081,0.01573665,0.00007430221,0.0003314609,0.0004815951,0.00002781021,0.0003300648,0.0748145],"genre_scores_gemma":[0.9955823,0.000005526339,0.00277566,0.000004162488,0.000114392,0.00001051831,0.000007109165,0.0000367734,0.001463521],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08801333,"threshold_uncertainty_score":0.4994114,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006219342849004023,"score_gpt":0.1945856204190897,"score_spread":0.1883662775700857,"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."}}