Paper 2002/001 Original: eprint.iacr.org/2002/001 ↗
Fractal Hash Sequence Representation and Traversal
Abstract
We introduce a novel amortization technique for computation of consecutive preimages of hash chains, given knowledge of the seed. While all previously known techniques have a memory-times-computational complexity of $O(n)$ per chain element, the complexity of our technique can be upper bounded at $O(log^2 n)$, making it a useful primitive for low-cost applications such as authentication, signatures and micro-payments. Our technique uses a logarithmic number of {\em pebbles} associated with points on the hash chain. The locations of these pebbles are modified over time. Like fractals, where images can be found within images, the pebbles move within intervals and sub-intervals according to a highly symmetric pattern.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2002-03-16: last updated
- 2002-01-03: published
- Short URL
- https://ia.cr/2002/001
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2002/001,
author = {Markus Jakobsson},
title = {Fractal Hash Sequence Representation and Traversal},
howpublished = {Cryptology {ePrint} Archive, Paper 2002/001},
year = {2002},
url = {https://eprint.iacr.org/2002/001}
}