Collatz-Weyl Generators: High Quality and High Throughput Parameterized Pseudorandom Number Generators
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910723250061312 |
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| author | Działa, Tomasz R. |
| author_facet | Działa, Tomasz R. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17043 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Collatz-Weyl Generators: High Quality and High Throughput Parameterized Pseudorandom Number Generators Działa, Tomasz R. Computational Engineering, Finance, and Science 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. |
| title | Collatz-Weyl Generators: High Quality and High Throughput Parameterized Pseudorandom Number Generators |
| topic | Computational Engineering, Finance, and Science |
| url | https://arxiv.org/abs/2312.17043 |