{"id":"W1975962647","doi":"10.1002/jcd.10057","title":"Some Hadamard matrices of order 32 and their binary codes","year":2004,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Hadamard transform; Binary Golay code; Hadamard matrix; Mathematics; Ternary Golay code; Complex Hadamard matrix; Binary number; Order (exchange); Combinatorics; Hadamard code; Code (set theory); Binary code; Hadamard's inequality; Matrix (chemical analysis); Discrete mathematics; Linear code; Arithmetic; Algorithm; Block code; Computer science; Decoding methods; Set (abstract data type)","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":[0.0004930042,0.0001403171,0.0003763474,0.0001760177,0.00004388982,0.00002912924,0.000168654,0.00009436233,0.000006483854],"category_scores_gemma":[0.00002739663,0.0001069241,0.00009918283,0.0002074816,0.00005536251,0.0002872776,0.00001549121,0.0001819805,0.000002046703],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003282568,"about_ca_system_score_gemma":0.00004836826,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005046074,"about_ca_topic_score_gemma":3.570965e-7,"domain_scores_codex":[0.999114,0.00006929841,0.0004386601,0.00006057454,0.0001711848,0.0001462447],"domain_scores_gemma":[0.999377,0.0001226682,0.0001806465,0.0001050246,0.0001323119,0.00008236487],"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":[0.0006206251,0.0004596536,0.001081339,0.0007376368,0.0009004516,0.0001434604,0.003243383,0.02023317,0.3650286,0.6045703,0.001824721,0.001156614],"study_design_scores_gemma":[0.00741646,0.002169178,0.001892119,0.0007737509,0.0001659689,0.0003998011,0.001122242,0.0003274971,0.1983897,0.7830769,0.003671042,0.0005953116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9882029,0.005801269,0.001490273,0.00004210557,0.00399646,0.00009185603,0.000004950569,0.00003150243,0.000338659],"genre_scores_gemma":[0.9988924,0.0004307287,0.0002038469,0.000007048138,0.000436803,0.000001277977,3.635799e-7,0.00002015352,0.000007352214],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1785066,"threshold_uncertainty_score":0.4360239,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01142685784541695,"score_gpt":0.2087793306293514,"score_spread":0.1973524727839345,"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."}}