{"id":"W4395099399","doi":"10.1007/978-3-031-48679-1_12","title":"Group Rings and Character Sums: Tricks of the Trade","year":2023,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Character (mathematics); Group (periodic table); Mathematics; Chemistry; Geometry; Organic chemistry","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":[0.0002274665,0.0001622049,0.0002077088,0.0001493223,0.0003342551,0.00005957546,0.003153483,0.0002258886,0.00001194582],"category_scores_gemma":[0.00003246778,0.0001324787,0.0001750804,0.0001581705,0.0004389471,0.0002106694,0.00174336,0.0006167813,0.00001121985],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001095524,"about_ca_system_score_gemma":0.00004320644,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002118985,"about_ca_topic_score_gemma":0.0001779796,"domain_scores_codex":[0.9991913,0.00004138382,0.0002848668,0.0002169082,0.000148815,0.0001166931],"domain_scores_gemma":[0.9964598,0.0002533198,0.0002031476,0.003012436,0.00002971161,0.00004156962],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000001308455,0.0000137256,0.00002174329,0.00001808935,0.0000367699,6.471542e-7,0.0005205651,3.697394e-7,0.00001001565,0.9792585,0.0006192013,0.0194991],"study_design_scores_gemma":[0.0001367184,0.00003420558,0.000945511,0.0002777307,0.00004383212,0.000009476172,0.000008881483,0.0001694519,0.00001781521,0.2421989,0.7559431,0.000214466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0003842025,0.002415367,0.04133613,0.02420416,0.002523388,0.0009594252,0.0001331456,0.0005652588,0.9274789],"genre_scores_gemma":[0.7252536,0.01887992,0.02015573,0.00399695,0.0004058919,0.0002044243,0.0002024165,0.0001345163,0.2307666],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.7553238,"threshold_uncertainty_score":0.5860008,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05506792985972499,"score_gpt":0.2504341640557827,"score_spread":0.1953662341960578,"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."}}