Paper 2019/264 Original: eprint.iacr.org/2019/264 ↗
Unifying computational entropies via Kullback-Leibler divergence
Abstract
We introduce hardness in relative entropy, a new notion of hardness for search problems which on the one hand is satisfied by all one-way functions and on the other hand implies both next-block pseudoentropy and inaccessible entropy, two forms of computational entropy used in recent constructions of pseudorandom generators and statistically hiding commitment schemes, respectively. Thus, hardness in relative entropy unifies the latter two notions of computational entropy and sheds light on the apparent "duality" between them. Additionally, it yields a more modular and illuminating proof that one-way functions imply next-block inaccessible entropy, similar in structure to the proof that one-way functions imply next-block pseudoentropy (Vadhan and Zheng, STOC '12).
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2019-08-20: last updated
- 2019-03-06: published
- Short URL
- https://ia.cr/2019/264
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2019/264,
author = {Rohit Agrawal and Yi-Hsiu Chen and Thibaut Horel and Salil Vadhan},
title = {Unifying computational entropies via Kullback-Leibler divergence},
howpublished = {Cryptology {ePrint} Archive, Paper 2019/264},
year = {2019},
url = {https://eprint.iacr.org/2019/264}
}