Paper 2021/1275 Original: eprint.iacr.org/2021/1275 ↗
Counterexample to OWF Self-XOR Being a DOWF
Abstract
We study the effects of the XOR transformation, that is, $f^{\oplus 2}(x_1,x_2):= f(x_1)\oplus f(x_2)$, on one-wayness. More specifically, we present an example showing that if one-way functions exist, there also exists a one-way function $f$ such that $f^{\oplus 2}$ is not even a distributional one-way function, demonstrating that one-wayness may severely deteriorate.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2021-09-24: last updated
- 2021-09-24: published
- Short URL
- https://ia.cr/2021/1275
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/1275,
author = {Nathan Geier},
title = {Counterexample to OWF Self-XOR Being a DOWF},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/1275},
year = {2021},
url = {https://eprint.iacr.org/2021/1275}
}