{"id":"W2897974071","doi":"10.1016/j.cam.2018.10.019","title":"Xorshift1024*, xorshift1024+, xorshift128+ and xoroshiro128+ fail statistical tests for linearity","year":2018,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Chaos-based Image/Signal Encryption","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université TÉLUQ; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Interleaving; Algorithm; Arithmetic; Linearity; Statistical hypothesis testing; Rank (graph theory); Statistics; Computer science; Combinatorics","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":[0.001005042,0.0002288153,0.0004111859,0.0001759782,0.0002244056,0.0003070174,0.0003453493,0.00009381857,0.00001448017],"category_scores_gemma":[0.00022256,0.0001923206,0.00006906094,0.0002069952,0.0002807466,0.0003862085,0.000149073,0.0002354498,0.00001226251],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004008969,"about_ca_system_score_gemma":0.0001501397,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001529874,"about_ca_topic_score_gemma":0.000002573378,"domain_scores_codex":[0.9981375,0.00002755107,0.0007434776,0.000273448,0.0005509296,0.0002670504],"domain_scores_gemma":[0.9970972,0.001522554,0.0005173899,0.0001628351,0.0004570612,0.0002429637],"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":[0.0001448559,0.0003258425,0.00005824483,0.0003453491,0.00008226863,0.00001294552,0.002339682,0.0007131314,0.001204524,0.9767576,0.001962104,0.01605345],"study_design_scores_gemma":[0.00155338,0.0007393183,0.002769579,0.000105867,0.00006076671,0.0002983367,0.0001188945,0.1720329,0.0009965962,0.8198757,0.00113935,0.0003093335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.09456249,0.00007326251,0.9038171,0.0008070419,0.0001752738,0.0002364663,0.00001925764,0.00003913962,0.0002699782],"genre_scores_gemma":[0.4474912,0.000007413409,0.5519351,0.0002422134,0.0002801799,0.000006129816,0.000004315277,0.0000133948,0.00001995745],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3529288,"threshold_uncertainty_score":0.7842607,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02550709596279811,"score_gpt":0.2885020790873967,"score_spread":0.2629949831245986,"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."}}