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If P ≠ NP then Some Strongly Noninvertible Functions Are Invertible

  • Lane A. Hemaspaandra
  • Kari Pasanen
  • Jörg RotheEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2138)

Abstract

Rabi, Rivest, and Sherman alter the standard notion of noninvertibility to a new notion they call strong noninvertibility, and show—via explicit cryptographic protocols for secret-key agreement ([RS93,RS97] attribute this to Rivest and Sherman) and digital signatures [RS93,RS97]—that strongly noninvertible functions would be very useful components in protocol design. Their definition of strong noninvertibility has a small twist (“respecting the argument given”) that is needed to ensure cryptographic usefulness. In this paper, we show that this small twist has a large, unexpected consequence: Unless P = NP, some strongly noninvertible functions are invertible.

Keywords

Computational and Structural Complexity 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Lane A. Hemaspaandra
    • 1
  • Kari Pasanen
    • 2
  • Jörg Rothe
    • 3
    Email author
  1. 1.Department of Computer ScienceUniversity of RochesterRochesterUSA
  2. 2.Nokia Networks and University of JyväskyläJyväskyläFinland
  3. 3.Abteilung für InformatikHeinrich-Heine-Universität DüsseldorfDüsseldorfGermany

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