## Universal One-Way Hash Functions and their Cryptographic Applications (1989)

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Citations: | 313 - 13 self |

### BibTeX

@INPROCEEDINGS{Naor89universalone-way,

author = {Moni Naor and Moti Yung},

title = {Universal One-Way Hash Functions and their Cryptographic Applications},

booktitle = {},

year = {1989},

pages = {33--43}

}

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### Abstract

We define a Universal One-Way Hash Function family, a new primitive which enables the compression of elements in the function domain. The main property of this primitive is that given an element x in the domain, it is computationally hard to find a different domain element which collides with x. We prove constructively that universal one-way hash functions exist if any 1-1 one-way functions exist. Among the various applications of the primitive is a One-Way based Secure Digital Signature Scheme which is existentially secure against adoptive attacks. Previously, all provably secure signature schemes were based on the stronger mathematical assumption that trapdoor one-way functions exist. Key words. cryptography, randomized algorithms AMS subject classifications. 68M10, 68Q20, 68Q22, 68R05, 68R10 Part of this work was done while the authors were at the IBM Almaden Research Center. The first author was supported in part by NSF grant CCR-88 13632. A preliminary version of this work app...