{"id":"W1749437014","doi":"10.1007/s11425-013-4633-x","title":"Linear recurring sequences and subfield subcodes of cyclic codes","year":2013,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Finite field; Generator (circuit theory); TRACE (psycholinguistics); Sequence (biology); Discrete mathematics; Polynomial; Physics; Mathematical analysis","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":[0.0009534199,0.0001097578,0.0001717091,0.0001849919,0.0002310797,0.0001959448,0.001093981,0.00003089166,0.00001547902],"category_scores_gemma":[0.0002219029,0.00008400509,0.00004163012,0.0008631242,0.0007406215,0.0009650038,0.0003130515,0.00009168793,0.00001180658],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007716475,"about_ca_system_score_gemma":0.00004980445,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002814421,"about_ca_topic_score_gemma":0.000002805607,"domain_scores_codex":[0.9988862,0.00002382477,0.0002341477,0.0002722378,0.000329119,0.0002544504],"domain_scores_gemma":[0.9990651,0.0001626461,0.0001311949,0.0004576454,0.00008625515,0.00009716356],"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":[7.070157e-7,0.00007159931,0.002176207,0.0001160012,0.000006100264,0.000001807017,0.008198157,0.0000208931,0.03194704,0.9469489,0.00003120655,0.01048132],"study_design_scores_gemma":[0.00009638892,0.0001365959,0.00493251,0.0001617883,0.000006501849,0.00004030659,0.0006688394,0.03809686,0.07654215,0.8790618,0.00002044075,0.0002358134],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9240822,0.00008815432,0.07138132,0.0003135067,0.0001077145,0.0001273736,6.713615e-7,0.00007877133,0.003820331],"genre_scores_gemma":[0.8704615,0.0000367323,0.1294192,0.00003668097,0.00001209889,0.000006459864,7.611531e-8,0.000003122025,0.00002412369],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06788716,"threshold_uncertainty_score":0.3425628,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01281118427533436,"score_gpt":0.2479494248759117,"score_spread":0.2351382406005773,"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."}}