{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003443028,0.0003624786,0.0002800515,0.0009425635,0.0007305447,0.0008424826,0.0002689514,0.0005944445,0.001841857],"category_scores_gemma":[0.001576719,0.0002403248,0.0001957445,0.0005052335,0.0009733458,0.0005884918,0.0005950119,0.0008640293,0.000234819],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004817921,"about_ca_system_score_gemma":0.0004418555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007524564,"about_ca_topic_score_gemma":0.0006060269,"domain_scores_codex":[0.9995585,0.0001096836,0.00002450462,0.00005926956,0.0001741526,0.00007374345],"domain_scores_gemma":[0.9992619,0.0002197526,0.0001974117,0.0000732409,0.0001344063,0.0001133334],"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":[0.0002976108,0.00005708435,0.001381927,0.00008271434,0.00001721778,0.0006893415,0.0003780103,0.01305352,0.02634079,0.9428124,0.00134147,0.01354796],"study_design_scores_gemma":[0.00008991314,0.0001980759,0.002146246,0.00007065296,0.00001631501,0.001517299,0.0002258645,0.1082866,0.02611321,0.8508018,0.01041657,0.000117538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9010763,0.0007812147,0.06902826,0.000561486,0.0001579801,0.00004924013,0.0001851062,0.00008308523,0.02807719],"genre_scores_gemma":[0.9778774,0.0001696756,0.01760046,0.00007980836,0.00006046734,0.00002694196,0.0000903449,0.00001127941,0.004083551],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001841857,"threshold_uncertainty_score":0.006161571,"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."}}