{"id":"W4367677358","doi":"10.1017/s0004972723000382","title":"TANGENT-FILLING PLANE CURVES OVER FINITE FIELDS","year":2023,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Tangent; Plane curve; Plane (geometry); Geometry; Tangent space; Mathematical analysis; Cover (algebra); Finite field; Pure mathematics; Combinatorics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006769889,0.0001270967,0.0001891306,0.00001799293,0.0001366928,0.00004467643,0.001085862,0.00009136182,0.0009561243],"category_scores_gemma":[0.000146792,0.00008774237,0.0004292432,0.0004473711,0.0001321436,0.0000291831,0.0003800198,0.0001967684,0.00027111],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008444953,"about_ca_system_score_gemma":0.00001115027,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005706619,"about_ca_topic_score_gemma":1.859636e-7,"domain_scores_codex":[0.9988382,0.00007249581,0.0002623309,0.0002099257,0.0003320356,0.0002850049],"domain_scores_gemma":[0.9986637,0.0005285368,0.0001042248,0.0006105083,0.00002676656,0.00006621795],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004293242,0.000108361,0.0003569002,0.0007598603,0.0001073066,0.000003269554,0.001403515,0.0001495949,0.0003384533,0.1819153,0.8142014,0.0006517172],"study_design_scores_gemma":[0.001000042,0.0001987136,0.007500111,0.002788885,0.0001491748,0.0000278195,0.0005357898,0.01133587,0.009744188,0.6915367,0.2741662,0.001016431],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"commentary","genre_gemma":"empirical","genre_scores_codex":[0.3199793,0.000533144,0.3140067,0.3319098,0.002501565,0.002402014,0.0001320503,0.002827089,0.02570836],"genre_scores_gemma":[0.929459,0.0002219379,0.04113661,0.005383797,0.0002048175,0.00005120689,0.000007953732,0.00003888023,0.02349574],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6094797,"threshold_uncertainty_score":0.9999571,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03043858382976983,"score_gpt":0.2576553685549687,"score_spread":0.2272167847251989,"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."}}