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Paper: On Constructing Universal One-Way Hash Functions from Arbitrary One-Way Functions

Authors:
Jonathan Katz
Chiu-Yuen Koo
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URL: http://eprint.iacr.org/2005/328
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Abstract: A fundamental result in cryptography is that a digital signature scheme can be constructed from an arbitrary one-way function. A proof of this somewhat surprising statement follows from two results: first, Naor and Yung defined the notion of universal one-way hash functions and showed that the existence of such hash functions implies the existence of secure digital signature schemes. Subsequently, Rompel showed that universal one-way hash functions could be constructed from arbitrary one-way functions. Unfortunately, despite the importance of the result, a complete proof of the latter claim has never been published. In fact, a careful reading of Rompel's original conference publication reveals a number of errors in many of his arguments which have (seemingly) never been addressed. We provide here what is --- as far as we know --- the first complete write-up of Rompel's proof that universal one-way hash functions can be constructed from arbitrary one-way functions.
BibTeX
@misc{eprint-2005-12662,
  title={On Constructing Universal One-Way Hash Functions from Arbitrary One-Way Functions},
  booktitle={IACR Eprint archive},
  keywords={foundations /},
  url={http://eprint.iacr.org/2005/328},
  note={ jkatz@cs.umd.edu 13051 received 16 Sep 2005, last revised 24 Sep 2005},
  author={Jonathan Katz and Chiu-Yuen Koo},
  year=2005
}