Collision-resistant hash-shuffles on the reals
Logic
2025-01-07 v1 Computational Complexity
Information Theory
math.IT
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.
Cite
@article{arxiv.2501.02604,
title = {Collision-resistant hash-shuffles on the reals},
author = {George Barmpalias and Xiaoyan Zhang},
journal= {arXiv preprint arXiv:2501.02604},
year = {2025}
}