{"id":"W4286890469","doi":"10.48550/arxiv.2110.15582","title":"Construction of APN permutations via Walsh zero spaces","year":2021,"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":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subspace topology; Mathematics; Zero (linguistics); Combinatorics; Affine transformation; Vector space; Space (punctuation); Inverse; Affine space; Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006323867,0.0005901159,0.0004008208,0.001103986,0.00144324,0.002137454,0.0006759678,0.0007512275,0.007795407],"category_scores_gemma":[0.0018848,0.0003288485,0.0005783811,0.000856236,0.002172318,0.002521954,0.003726848,0.001812863,0.002095334],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008469401,"about_ca_system_score_gemma":0.0007420261,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003547617,"about_ca_topic_score_gemma":0.0003742572,"domain_scores_codex":[0.9990436,0.0002560316,0.00006284948,0.0001631826,0.0002637647,0.000210439],"domain_scores_gemma":[0.9992476,0.0001799752,0.00006478786,0.0002572342,0.0001302012,0.0001202477],"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":[0.00005138327,0.00001981865,0.0001782551,0.00002113614,0.000002811749,0.0001193431,0.0002164489,0.001240827,0.006007789,0.9772395,0.0007772281,0.01412556],"study_design_scores_gemma":[0.00002805754,0.0001197391,0.000286893,0.00003913205,0.00001090234,0.0005097393,0.0003943717,0.02858516,0.03047304,0.9014011,0.03809183,0.00006008417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2566398,0.000222233,0.6411082,0.0005382273,0.0003307996,0.0001918988,0.000384045,0.001139664,0.09944506],"genre_scores_gemma":[0.8042011,0.0001850537,0.1631521,0.0002635835,0.00007157283,0.0003756634,0.000542212,0.0003581748,0.03085063],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007795407,"threshold_uncertainty_score":0.02607816,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04210673522203418,"score_gpt":0.1739180368166843,"score_spread":0.1318113015946501,"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."}}