{"id":"W3088897051","doi":"10.21136/cmj.2020.0543-19","title":"Sidon basis in polynomial rings over finite fields","year":2020,"lang":"en","type":"article","venue":"Czechoslovak Mathematical Journal","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Basis (linear algebra); Polynomial ring; Pure mathematics; Finite field; Polynomial; Algebra over a field; Discrete mathematics; Mathematical analysis; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004146184,0.0003413892,0.0003656407,0.0008094643,0.001174227,0.001286239,0.000309111,0.0002646776,0.003795894],"category_scores_gemma":[0.0005528846,0.0001924105,0.0003870267,0.0005861058,0.001193536,0.00105304,0.001358123,0.0009270046,0.0008684116],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008643154,"about_ca_system_score_gemma":0.0006664377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009190644,"about_ca_topic_score_gemma":0.001132305,"domain_scores_codex":[0.9997258,0.00005100968,0.00001439172,0.00003350747,0.00007139744,0.0001038951],"domain_scores_gemma":[0.9997185,0.00008255769,0.00003307649,0.00003313477,0.0000518287,0.0000808255],"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":[0.00011325,0.00004101146,0.0006328811,0.00004139599,0.000004383663,0.0001491526,0.0002496403,0.001527622,0.003492716,0.981619,0.001085558,0.01104326],"study_design_scores_gemma":[0.00004053844,0.0001557882,0.001182355,0.00005858416,0.00001907995,0.000383132,0.0004044545,0.02596758,0.01475005,0.9356368,0.0213678,0.00003381588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7430165,0.0007193168,0.1324292,0.0006103146,0.0002439742,0.00004547624,0.0003065204,0.0002565697,0.1223721],"genre_scores_gemma":[0.9581892,0.0003504281,0.02134228,0.0001203437,0.00005840012,0.00005116866,0.0003843208,0.00003786403,0.01946605],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003795894,"threshold_uncertainty_score":0.01269853,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02087699387912606,"score_gpt":0.2413489116486069,"score_spread":0.2204719177694809,"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."}}