{"id":"W2187726805","doi":"10.1007/s11432-013-4900-z","title":"On the Walsh spectrum of a family of quadratic APN functions with five terms","year":2013,"lang":"en","type":"article","venue":"Science China Information Sciences","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Conjecture; Bracken; Quadratic equation; Mathematics; Combinatorics; Polynomial; Spectrum (functional analysis); Quadratic function; Type (biology); Function (biology); Discrete mathematics; Physics; Mathematical analysis; Quantum mechanics","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":[0.001814892,0.0001026023,0.0001191709,0.0005090988,0.0007128951,0.0004116718,0.002007235,0.00001741444,0.00004379863],"category_scores_gemma":[0.0001705889,0.00005235129,0.00004950655,0.004192958,0.002391817,0.005384966,0.00015314,0.00008808768,0.00006315242],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001512485,"about_ca_system_score_gemma":0.0002323177,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001173271,"about_ca_topic_score_gemma":0.0000050929,"domain_scores_codex":[0.9982051,0.00004272837,0.0003259103,0.000186558,0.0009813702,0.0002583113],"domain_scores_gemma":[0.9987636,0.000206108,0.0003400045,0.0004684039,0.0001587429,0.00006318667],"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":[0.000005279097,0.00003602224,0.0007035922,0.000009863181,0.000003950315,6.598619e-8,0.006786233,0.001647861,0.001212164,0.9762617,0.0002218903,0.01311142],"study_design_scores_gemma":[0.0005003017,0.003180001,0.2517481,0.0002506927,0.00001208082,0.00002384952,0.009991175,0.2097757,0.0253919,0.4982939,0.0002806094,0.0005517481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8035151,0.000004787276,0.1475395,0.001499183,0.0002119154,0.0002945082,0.000002533931,0.00004446046,0.04688795],"genre_scores_gemma":[0.9973745,0.000001780277,0.002270983,0.000304178,0.000005476332,0.00001951897,2.471176e-7,8.964866e-7,0.00002241141],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4779678,"threshold_uncertainty_score":0.8812751,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01044746124257064,"score_gpt":0.2177679256923868,"score_spread":0.2073204644498161,"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."}}