If P neq NP then some strongly noninvertible functions are invertible

@inproceedings{Hemaspaandra2006IfPN,
  title={If P neq NP then some strongly noninvertible functions are invertible},
  author={Lane A. Hemaspaandra and Kari Pasanen and J{\"o}rg Rothe},
  booktitle={Theor. Comput. Sci.},
  year={2006}
}
Enforcing and Defying Associativity, Commutativity, Totality, and Strong Noninvertibility for One-Way Functions in Complexity Theory
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TLDR
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  • 2006
TLDR
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TLDR
This paper shows how Double Blind Comparisons can be implemented using a Strong Associative One-Way Function (SAOWF), making an additional assumption that the SAOWF is implemented on a Group with Infeasible Inversion (GII).
A new paradigm for group cryptosystems using quick keys
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  • Computer Science, Mathematics
    The 11th IEEE International Conference on Networks, 2003. ICON2003.
  • 2003
TLDR
A new approach to group key agreement is introduced based on the idea of an associative one way function (AOWF) and it is illustrated how such functions can be used to perform highly dynamic and fully contributory multiparty key agreement in group-oriented cryptosystems.
Some facets of complexity theory and cryptography: A five-lecture tutorial
  • J. Rothe
  • Computer Science, Mathematics
    CSUR
  • 2002
TLDR
This tutorial discusses the notion of one-way functions both in a cryptographic and in a complexity-theoretic setting, and considers interactive proof systems and some interesting zero-knowledge protocols.
Quantum one-way permutation over the finite field of two elements
TLDR
Levin’s one-way permutation is provably secure because its output values are four maximally entangled two-qubit states, and whose probability of factoring them approaches zero faster than the multiplicative inverse of any positive polynomial poly(x) over the Boolean ring of all subsets of x.
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