{"id":"W1973378877","doi":"10.1109/tit.2012.2196021","title":"A Construction of Codebooks Associated With Binary Sequences","year":2012,"lang":"en","type":"article","venue":"IEEE Transactions on Information Theory","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":49,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"","keywords":"Mathematics; Codebook; Combinatorics; Hamming space; Binary code; Binary number; Sequence (biology); Hadamard matrix; Hadamard transform; Matrix (chemical analysis); Hamming distance; Hamming code; Matrix norm; Discrete mathematics; Hamming weight; Algorithm; Block code; Eigenvalues and eigenvectors; Arithmetic; Mathematical analysis; Physics; Decoding 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":[0.0007846095,0.0006152821,0.0007428151,0.001273966,0.0009696254,0.001099341,0.00131058,0.0007524875,0.003294377],"category_scores_gemma":[0.007488817,0.0006691273,0.0005160194,0.001634692,0.00094945,0.001381707,0.001844132,0.001337251,0.001602721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008594725,"about_ca_system_score_gemma":0.001514011,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001914013,"about_ca_topic_score_gemma":0.001557252,"domain_scores_codex":[0.99883,0.0002719607,0.0001051005,0.0002091918,0.0004580359,0.0001256699],"domain_scores_gemma":[0.997024,0.001010356,0.000262201,0.0005841951,0.0008715653,0.000247655],"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":[0.0004083207,0.00008410251,0.001203818,0.0003268584,0.00003701313,0.0004812498,0.0006416939,0.06217589,0.05594214,0.6607355,0.009675765,0.2082876],"study_design_scores_gemma":[0.0001019041,0.0003374476,0.001026358,0.0001516957,0.00003130118,0.001060713,0.0001910439,0.642184,0.03305164,0.2826691,0.0390581,0.0001366178],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01522589,0.0003363145,0.9768886,0.0001482929,0.0001237767,0.0001225709,0.0003809998,0.0003543656,0.006419144],"genre_scores_gemma":[0.2605169,0.0007295964,0.7257374,0.0001972533,0.0001268738,0.0005949391,0.00149483,0.0002163762,0.01038588],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003294377,"threshold_uncertainty_score":0.01102078,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006846413880487452,"score_gpt":0.1794938830672758,"score_spread":0.1726474691867884,"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."}}