{"id":"W395247565","doi":"10.1007/s002000050126","title":"Optimal Formally Self-Dual Codes over 𝔽 5 and 𝔽 7","year":2000,"lang":"en","type":"article","venue":"Applicable Algebra in Engineering Communication and Computing","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Minimum weight; Dual (grammatical number); Construct (python library); Dimension (graph theory); Minimum distance; Mathematics; Linear code; Code (set theory); Computer science; Discrete mathematics; Block code; Combinatorics; Algorithm; 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":[0.0004160027,0.0001277305,0.0001416881,0.00009666251,0.0001612537,0.0001665921,0.000425542,0.00005020929,0.000009281415],"category_scores_gemma":[0.00000510173,0.0001412927,0.00002327253,0.0003325865,0.00003131177,0.0002785826,0.0003314147,0.0002011718,0.000003260152],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001236531,"about_ca_system_score_gemma":0.000007622493,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001904175,"about_ca_topic_score_gemma":0.000001690127,"domain_scores_codex":[0.9992291,0.00003778511,0.0002024992,0.0002222735,0.00008405195,0.0002242991],"domain_scores_gemma":[0.9992126,0.0002034005,0.00003389563,0.0004718766,0.00001299394,0.00006519738],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001470564,0.0001413127,0.003124087,0.00009385464,0.00004802688,0.000004569277,0.003840404,0.04015015,0.0008380562,0.6782209,0.0000522433,0.2734717],"study_design_scores_gemma":[0.0004094014,0.00003442767,0.009309385,0.0000589201,0.000004645405,0.00003414748,0.00003519461,0.9830698,0.0001965754,0.002269933,0.004340631,0.0002369066],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8745496,0.0008555531,0.1229162,0.0001281994,0.00001473692,0.0001218032,3.767581e-7,0.0003439889,0.001069524],"genre_scores_gemma":[0.9007605,0.0002775834,0.09879852,0.0001206346,0.00001304846,0.00001148117,0.000002065949,0.000008312059,0.000007853421],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9429197,"threshold_uncertainty_score":0.5761748,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.003958740976191346,"score_gpt":0.1971495810064651,"score_spread":0.1931908400302737,"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."}}