{"paper":{"title":"Pseudorandom number generation by $p$-adic ergodic transformations","license":"","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Vladimir Anashin","submitted_at":"2004-01-29T19:16:00Z","abstract_excerpt":"The paper study counter-dependent pseudorandom generators; the latter are generators such that their state transition function (and output function) is being modified dynamically while working: For such a generator the recurrence sequence of states satisfies a congruence $x_{i+1}\\equiv f_i(x_i)\\pmod{2^n}$, while its output sequence is of the form $z_{i}=F_i(u_i)$. The paper introduces techniques and constructions that enable one to compose generators that output uniformly distributed sequences of a maximum period length and with high linear and 2-adic spans. The corresponding stream chipher is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0401030","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"}