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arXiv · 2312.17043

Collatz-Weyl Generators: High Quality and High Throughput Parameterized Pseudorandom Number Generators

Tomasz R. Działa
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Abstract

We introduce the Collatz-Weyl Generators, a family of uniform pseudorandom number generators (PRNGs) which are based on generalized Collatz mappings, derived from the Collatz conjecture and Weyl sequences. The high-quality statistical properties of our generators is demonstrated by the fact that they pass stringent randomness tests used by the research and standardization community. The proposed Collatz-Weyl Generators have a number of important properties, including solid mathematical foundations, enablement of high throughput and low latency implementation, small code and/or ASIC size, enablement of producing multiple independent streams and potential of support of cryptographic applications.

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Tomasz R. Działa. 2023-12-28. Collatz-Weyl Generators: High Quality and High Throughput Parameterized Pseudorandom Number Generators. https://arxiv.org/abs/2312.17043

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