{"id":"W4411720738","doi":"10.61091/ars163-08","title":"Type I and type II codes over the ring \\({\\mathbb F}_2+u{\\mathbb F}_2+u^2{\\mathbb F}_2+u^3{\\mathbb F}_2\\)","year":2025,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Type (biology); Combinatorics; Ring (chemistry); Chemistry; Geology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.001898374,0.0008853216,0.0009204373,0.0005565499,0.001808653,0.0009313248,0.003029808,0.0004286756,0.000137568],"category_scores_gemma":[0.0004682245,0.0007505654,0.0003327993,0.003522944,0.0005336843,0.001037635,0.002426354,0.001009899,0.0002049069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001568916,"about_ca_system_score_gemma":0.0003645468,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009139242,"about_ca_topic_score_gemma":0.00003594525,"domain_scores_codex":[0.9948955,0.0005119686,0.0009359794,0.001484908,0.0008816604,0.00128997],"domain_scores_gemma":[0.9951551,0.001002656,0.0004010212,0.00255448,0.0005271864,0.0003595762],"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":[0.0001193778,0.000336786,0.002905442,0.0001182908,0.0002458185,0.00004946597,0.001878026,0.00002382214,0.001332912,0.9721035,0.01488359,0.006002987],"study_design_scores_gemma":[0.002840831,0.0007856169,0.01670592,0.0005982501,0.000250886,0.00009114638,0.0004016997,0.006702779,0.003095533,0.8658115,0.1011188,0.001597043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9577033,0.003872714,0.001835934,0.002218457,0.01020853,0.0009478314,0.00002070692,0.00114445,0.0220481],"genre_scores_gemma":[0.9942008,0.0005471323,0.001547801,0.00171102,0.0001022444,0.00006705775,0.00001539298,0.00008376806,0.001724736],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1062919,"threshold_uncertainty_score":0.9994946,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009220630435054828,"score_gpt":0.2403146756747229,"score_spread":0.2310940452396681,"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."}}