Collision-resistant hash-shuffles on the reals
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917884400238592 |
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| author | Barmpalias, George Zhang, Xiaoyan |
| author_facet | Barmpalias, George Zhang, Xiaoyan |
| contents | Oneway real functions are effective maps on positive-measure sets of reals that preserve randomness and have no effective probabilistic inversions. We construct a oneway real function which is collision-resistant: the probability of effectively producing distinct reals with the same image is zero, and each real has uncountable inverse image. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02604 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Collision-resistant hash-shuffles on the reals Barmpalias, George Zhang, Xiaoyan Logic Computational Complexity Information Theory Oneway real functions are effective maps on positive-measure sets of reals that preserve randomness and have no effective probabilistic inversions. We construct a oneway real function which is collision-resistant: the probability of effectively producing distinct reals with the same image is zero, and each real has uncountable inverse image. |
| title | Collision-resistant hash-shuffles on the reals |
| topic | Logic Computational Complexity Information Theory |
| url | https://arxiv.org/abs/2501.02604 |