Paper 2007/442 Original: eprint.iacr.org/2007/442 ↗

Another Look at Non-Standard Discrete Log and Diffie-Hellman Problems

Neal Koblitz
Alfred Menezes
Abstract

We examine several versions of the one-more-discrete-log and one-more-Diffie-Hellman problems. In attempting to evaluate their intractability, we find conflicting evidence of the relative hardness of the different problems. Much of this evidence comes from natural families of groups associated with curves of genus 2, 3, 4, 5, and 6. This leads to questions about how to interpret reductionist security arguments that rely on these non-standard problems.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2011-08-15: last updated
2007-12-05: published
Short URL
https://ia.cr/2007/442
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2007/442,
      author = {Neal Koblitz and Alfred Menezes},
      title = {Another Look at Non-Standard Discrete Log and Diffie-Hellman Problems},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/442},
      year = {2007},
      url = {https://eprint.iacr.org/2007/442}
}
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