Collision-resistant hash-shuffles on the reals

January 05, 2025 · The Ethereal · 🏛 arXiv.org

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Authors George Barmpalias, Xiaoyan Zhang arXiv ID 2501.02604 Category math.LO: Logic Cross-listed cs.CC, cs.IT Citations 1 Venue arXiv.org Last Checked 5 months ago
Abstract
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.
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