{"id":"W2069444685","doi":"10.1016/s1071-5797(03)00007-8","title":"Homogeneous weights and exponential sums","year":2003,"lang":"en","type":"article","venue":"Finite Fields and Their Applications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"National Sanitarium Association; National Science Foundation","keywords":"Mathematics; Homogeneous; Exponential function; Exponential sum; Algebraic number; Pure mathematics; Discrete mathematics; Algebra over a field; Combinatorics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009173313,0.00007891758,0.00007110911,0.0000530557,0.0002384554,0.00008428876,0.0001600974,0.00005154691,0.00002032733],"category_scores_gemma":[0.000005368047,0.00006383878,0.00003141845,0.0001671944,0.00004596345,0.00007209121,0.00005772595,0.00007146583,0.000007819286],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000001366284,"about_ca_system_score_gemma":0.000008593252,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003240846,"about_ca_topic_score_gemma":0.000004145395,"domain_scores_codex":[0.9995285,0.00002904269,0.00008366254,0.0002105164,0.00003561002,0.0001127237],"domain_scores_gemma":[0.9994544,0.0001446066,0.00002479618,0.0002947201,0.00001746559,0.00006405341],"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":[0.000001057165,0.00002455399,0.0001206507,0.000003762792,0.00000824951,4.606068e-7,0.0003862444,9.775613e-7,0.000115181,0.9687496,0.00004517954,0.03054409],"study_design_scores_gemma":[0.0002007866,0.00006480743,0.0004277795,0.000006910546,0.000007049347,0.0000370257,0.00006000162,0.001127543,0.002194573,0.7818564,0.2138208,0.0001964119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03205986,0.0006988699,0.9596441,0.0002762131,0.00005125579,0.0001370248,0.000006011008,0.00007320473,0.00705346],"genre_scores_gemma":[0.993842,0.0001322007,0.005608473,0.0001923342,0.00003236469,0.00007919794,0.00000242024,0.000003571026,0.0001074148],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9617822,"threshold_uncertainty_score":0.260327,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008421389931006997,"score_gpt":0.195682882193137,"score_spread":0.18726149226213,"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."}}