Paper 2026/1945 Original: eprint.iacr.org/2026/1945 ↗
Parallel Kac’s Walk Generates PRU
Abstract
Ma and Huang recently proved that the PFC construction, introduced by Metger, Poremba, Sinha and Yuen [MPSY24], gives an adaptive-secure pseudorandom unitary family PRU. Their proof developed a new path recording technique [MH25]. In this work, we show that a linear number of sequential repetitions of the parallel Kac's Walk, introduced by Lu, Qin, Song, Yao and Zhao [LQS+26], also forms an adaptive-secure PRU, confirming a conjecture therein. Moreover, it additionally satisfies strong security against adversaries making inverse queries. This gives an alternative PRU construction, and provides another instance demonstrating the power of the path recording technique. We also discuss some further simplifications and implications.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2026-09-09: last updated
- 2026-09-09: published
- Short URL
- https://ia.cr/2026/1945
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2026/1945,
author = {Chuhan Lu and Minglong Qin and Fang Song and Penghui Yao and Mingnan Zhao},
title = {Parallel Kac’s Walk Generates PRU},
howpublished = {Cryptology {ePrint} Archive, Paper 2026/1945},
year = {2026},
url = {https://eprint.iacr.org/2026/1945}
}