{"id":"W4404192098","doi":"10.1137/24m1633376","title":"Shape Enumerators of Self-Dual NRT Codes over Finite Fields","year":2024,"lang":"en","type":"article","venue":"SIAM Journal on Discrete Mathematics","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University of Edmonton; University of Saskatchewan","funders":"Algoma University","keywords":"Mathematics; Finite field; Dual (grammatical number); Combinatorics; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008780332,0.0005615703,0.00065493,0.001770771,0.001173847,0.00230633,0.001186221,0.001154169,0.00528911],"category_scores_gemma":[0.004878891,0.0004571019,0.0007361626,0.0008958414,0.001542758,0.002015138,0.001947627,0.001646196,0.001072004],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001293529,"about_ca_system_score_gemma":0.0009275232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004997527,"about_ca_topic_score_gemma":0.0006496908,"domain_scores_codex":[0.9990153,0.0001992693,0.00007252486,0.0001279577,0.000371571,0.0002133276],"domain_scores_gemma":[0.9957501,0.002272845,0.0006367037,0.0005539707,0.000473181,0.0003132431],"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":[0.0004004669,0.00009463335,0.001964299,0.00008943213,0.00002204194,0.0004024962,0.000571832,0.01494154,0.007999386,0.9536722,0.002313272,0.0175284],"study_design_scores_gemma":[0.00006749978,0.00005962291,0.0009027483,0.00005393349,0.00001897012,0.0004526005,0.0001280004,0.07572325,0.005167916,0.9154052,0.001977043,0.00004327883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9092648,0.0002821388,0.05833538,0.0008523104,0.0001227298,0.00005141997,0.0006165282,0.0004092719,0.03006542],"genre_scores_gemma":[0.9786593,0.0001738178,0.009685484,0.0001599911,0.0001331943,0.00007821474,0.0004865047,0.0001218254,0.01050166],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00528911,"threshold_uncertainty_score":0.01769382,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0133235305589589,"score_gpt":0.2597982679390679,"score_spread":0.2464747373801089,"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."}}