{"id":"W1548637683","doi":"10.1007/978-3-642-15874-2_22","title":"New Constructions of Complete Non-cyclic Hadamard Matrices, Related Function Families and LCZ Sequences","year":2010,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hadamard transform; Hadamard three-lines theorem; Hadamard matrix; Complex Hadamard matrix; Hadamard product; Kronecker product; Hadamard's inequality; Mathematics; Block matrix; Hadamard's maximal determinant problem; Matrix (chemical analysis); Hadamard three-circle theorem; Kronecker delta; Combinatorics; Pure mathematics; Computer science; Physics; Mathematical analysis; Eigenvalues and eigenvectors; Materials science; Composite material","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002545044,0.0002885197,0.0003963482,0.0005547067,0.000134652,0.00008194314,0.0003650356,0.0003274547,0.00003699789],"category_scores_gemma":[0.00001287823,0.000266873,0.00008308106,0.000340018,0.0007702163,0.0001863813,0.0000858114,0.0006319236,0.000008935906],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004020986,"about_ca_system_score_gemma":0.00009678172,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007226843,"about_ca_topic_score_gemma":0.0001548799,"domain_scores_codex":[0.9986576,0.00001305831,0.0004037604,0.0004118083,0.0002769336,0.0002367993],"domain_scores_gemma":[0.9991682,0.0001848149,0.0001354127,0.0003555423,0.00006328508,0.00009270063],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003427988,0.00001488068,0.001336469,0.0008512334,0.0002546178,0.0000377614,0.003218622,0.1189185,0.05962602,0.04518721,0.00008611647,0.7704343],"study_design_scores_gemma":[0.001323232,0.000521716,0.00330433,0.002661535,0.0002434788,0.0009146983,0.00001683648,0.1719316,0.009225964,0.7941652,0.0132606,0.002430807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01417779,0.001625164,0.9736338,0.0000399558,0.004072342,0.000315275,0.00002117311,0.0001668467,0.005947687],"genre_scores_gemma":[0.9690644,0.0001871553,0.0303141,0.00003636059,0.0002085688,0.000003239467,0.000007956838,0.00003024987,0.0001479738],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9548866,"threshold_uncertainty_score":0.9999784,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006851824099351875,"score_gpt":0.1847018446053393,"score_spread":0.1778500205059874,"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."}}