{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003614581,0.000105486,0.0001196138,0.0001946162,0.00008556931,0.0000122975,0.00005887276,0.00008192514,0.0001036276],"category_scores_gemma":[0.00000336274,0.00008972211,0.00004935954,0.0001852534,0.0001346529,0.000968176,1.957426e-7,0.0001293276,0.00004366739],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004074562,"about_ca_system_score_gemma":0.00001240646,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002300221,"about_ca_topic_score_gemma":0.000001551296,"domain_scores_codex":[0.9993519,0.0000721159,0.0002580116,0.00003261824,0.0001364256,0.0001489162],"domain_scores_gemma":[0.9996142,0.00008919575,0.00007844741,0.000115344,0.00005041223,0.00005241108],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.001028837,0.0003697127,0.0004912323,0.0007993967,0.001612093,0.000001480222,0.03824843,0.4329114,0.009177589,0.4021187,0.0002567381,0.1129844],"study_design_scores_gemma":[0.005754864,0.001445879,0.002914514,0.001664441,0.0006867041,0.000341618,0.03852637,0.03835984,0.8716018,0.03286814,0.003371957,0.002463832],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4579659,0.00003142072,0.5244848,0.00000460922,0.0008402179,0.0001969704,0.00006762957,0.0003247888,0.01608364],"genre_scores_gemma":[0.9997005,0.00000767394,0.0001589739,0.00002056847,0.00001052951,0.00003670255,0.00000732006,0.000008729204,0.00004903324],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8624243,"threshold_uncertainty_score":0.3658761,"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."}}