{"id":"W2139812902","doi":"10.48550/arxiv.1510.06999","title":"On a problem of Sidon for polynomials over finite fields","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Omega; Combinatorics; Conjecture; Physics; Integer (computer science); Polynomial; Mathematics; Mathematical analysis; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004304446,0.0002196882,0.000319233,0.0003006425,0.00006803739,0.0000488327,0.00133666,0.0002685045,0.00001979391],"category_scores_gemma":[0.00004881108,0.0002396803,0.0003186974,0.0003589593,0.0000718162,0.0001496264,0.0008670076,0.0002736131,0.000009879493],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005313949,"about_ca_system_score_gemma":0.0001576371,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004118952,"about_ca_topic_score_gemma":0.0000153887,"domain_scores_codex":[0.998735,0.0001015814,0.0001835561,0.0006692415,0.00007432756,0.0002363324],"domain_scores_gemma":[0.998114,0.0004308753,0.0002676757,0.0009260473,0.0001527048,0.0001086777],"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":[0.0002103507,0.0001254902,0.000218721,0.0001227676,0.00008857631,0.00001730378,0.0003242045,0.08516232,0.00002773314,0.9104379,0.00217613,0.001088518],"study_design_scores_gemma":[0.000758626,0.0003823462,0.00008352754,0.000162493,0.00005541515,5.383005e-7,0.00001798637,0.08299922,0.0003878022,0.9134057,0.001403296,0.0003430979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.240409,0.00003385585,0.7525072,0.00008398817,0.0004092393,0.0004611808,0.00004222863,0.0001301897,0.005923153],"genre_scores_gemma":[0.9967464,0.00001815802,0.002392784,0.0001284327,0.00005225122,0.000002322079,0.000007329629,0.00001065093,0.0006416265],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7563374,"threshold_uncertainty_score":0.9773879,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08083855480742418,"score_gpt":0.20205503985041,"score_spread":0.1212164850429858,"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."}}