Paper 2026/270 Original: eprint.iacr.org/2026/270 ↗
Pseudorandomness of Knapsacks over a Number Ring
Abstract
In this work, we study the pseudorandomness of the bounded Knapsack function family defined over a number ring ${R}$. We establish that if the Knapsack function family is one-way and certain related folded Knapsack function families are pseudorandom, then the original Knapsack is pseudorandom. This can be seen as a generalisation of the work of Micciancio and Mol presented at the CRYPTO-2011, for the case of Knapsack function families defined over arbitrary number ring.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2026-02-16: last updated
- 2026-02-16: published
- Short URL
- https://ia.cr/2026/270
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2026/270,
author = {Biswajit Mandal and Shashank Singh},
title = {Pseudorandomness of Knapsacks over a Number Ring},
howpublished = {Cryptology {ePrint} Archive, Paper 2026/270},
year = {2026},
url = {https://eprint.iacr.org/2026/270}
}