{"paper":{"title":"Pseudorandom number generation by p-adic ergodic transformations: an addendum","license":"","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Vladimir Anashin","submitted_at":"2004-02-26T18:33:28Z","abstract_excerpt":"The paper study counter-dependent pseudorandom number generators based on $m$-variate ($m>1$) ergodic mappings of the space of 2-adic integers $\\Z_2$. The sequence of internal states of these generators is defined by the recurrence law $\\mathbf x_{i+1}= H^B_i(\\mathbf x_i)\\bmod{2^n}$, whereas their output sequence is %while its output sequence is of the $\\mathbf z_{i}=F^B_i(\\mathbf x_i)\\mod 2^n$; here $\\mathbf x_j, \\mathbf z_j$ are $m$-dimensional vectors over $\\Z_2$. It is shown how the results obtained for a univariate case could be extended to a multivariate case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0402060","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}