[Resource Topic] 2009/021: Comparing With RSA

Welcome to the resource topic for 2009/021

Title:
Comparing With RSA

Authors: Julien Cathalo, David Naccache, Jean-Jacques Quisquater

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.

ePrint: https://eprint.iacr.org/2009/021

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