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Paper 2008/012
The Encrypted Elliptic Curve Hash
Daniel R. L. Brown
Abstract
Bellare and Micciancio's MuHASH applies a pre-existing hash function to map indexed message blocks into a secure group. The resulting hash is the product. Bellare and Micciancio proved, in the random oracle model, that MuHASH is collision-resistant if the group's discrete logarithm problem is infeasible. MuHASH, however, relies on a pre-existing hash being collision resistant. In this paper, we remove such a reliance by replacing the pre-existing hash with a block cipher under a fixed key. We adapt Bellare and Micciancio's collision-resistance proof to the ideal cipher model. Preimage resistance requires us to add a further modification.
Note: Now cited Ristenpart and Shrimpton
Metadata
- Available format(s)
- Category
- Secret-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Hash functioncollision resistance
- Contact author(s)
- dbrown @ certicom com
- History
- 2008-04-29: last of 2 revisions
- 2008-01-14: received
- See all versions
- Short URL
- https://ia.cr/2008/012
- License
-
CC BY