Paper 2009/021 Original: eprint.iacr.org/2009/021 ↗
Comparing With RSA
Abstract
A multi-set (MS) is a set where an element can occur more than once. MS hash functions (MSHFs) map MSs of arbitrary cardinality to fixed-length strings. This paper introduces a new RSA-based MSHF. The new function is efficient and produces small hashes. We prove that the proposed MSHF is collision-resistant under the assumption of unforgeability of deterministic RSA signatures. In many practical applications, programmers need to compare two (unordered) sets of integers. A trivial solution consists in sorting both sets ($\mathcal{O}(n \log n)$) and comparing them linearly. We show how MS hash functions can be turned into a linear-time, constant-space integer set equality test.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2009-01-13: last updated
- 2009-01-13: published
- Short URL
- https://ia.cr/2009/021
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2009/021,
author = {Julien Cathalo and David Naccache and Jean-Jacques Quisquater},
title = {Comparing With RSA},
howpublished = {Cryptology {ePrint} Archive, Paper 2009/021},
year = {2009},
url = {https://eprint.iacr.org/2009/021}
}