One-Up Problem for (EC)DSA

Paper 2008/286

One-Up Problem for (EC)DSA

Daniel R. L. Brown

Abstract

The one-up problem is defined for any group and a function from the group to integers. An instance of problem consists of two points in the group. A solution consists of another point satisfying an equation involving the group and the function. The one-up problem must be hard for the security of (EC)DSA. Heuristic arguments are given for the independence of the discrete log and one-up problems. DSA and ECDSA are conjectured to be secure if the discrete log and one-up problems are hard and the hash is collision resistant.

Metadata

Available format(s): PS
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: DSA ECDSA
Contact author(s): dbrown @ certicom com
History: 2008-07-03: received
Short URL: https://ia.cr/2008/286
License: CC BY

BibTeX

@misc{cryptoeprint:2008/286,
      author = {Daniel R.  L.  Brown},
      title = {One-Up Problem for ({EC}){DSA}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/286},
      year = {2008},
      url = {https://eprint.iacr.org/2008/286}
}