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Authors: Marek Karpinski and Yakov Nekrich†

Affiliation: University of Bonn, Germany

ISBN: 972-8865-32-5

Keyword(s): Identification and Authentication, Merkle Trees, Public Key Signatures, Authentication Path, Fractal Tree Traversal, Trade-off, Amortization.

Related Ontology Subjects/Areas/Topics: Cryptographic Techniques and Key Management ; Information and Systems Security

Abstract: In this paper we describe optimal trade-offs between time and space complexity of Merkle tree traversals with their associated authentication paths, improving on the previous results of Jakobsson, Leighton, Micali, and Szydlo (Jakobsson et al., 03) and Szydlo (Szydlo, 04). In particular, we show that our algorithm requires 2 log n/ log(3) n hash function computations and storage for less than (log n/ log(3) n + 1) log log n + 2 log n hash values, where n is the number of leaves in the Merkle tree. We also prove that these trade-offs are optimal, i.e. there is no algorithm that requires less than O(log n/ log t) time and less than O(t log n/ log t) space for any choice of parameter t ≥ 2. Our algorithm could be of special use in the case when both time and space are limited.

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Paper citation in several formats:
Karpinski M.; Nekrich† Y. and (2005). OPTIMAL TRADE-OFF FOR MERKLE TREE TRAVERSAL.In Proceedings of the Second International Conference on e-Business and Telecommunication Networks - Volume 1: ICETE, ISBN 972-8865-32-5, pages 275-282. DOI: 10.5220/0001414202750282

@conference{icete05,
author={Marek Karpinski and Yakov Nekrich†},
title={OPTIMAL TRADE-OFF FOR MERKLE TREE TRAVERSAL},
booktitle={Proceedings of the Second International Conference on e-Business and Telecommunication Networks - Volume 1: ICETE,},
year={2005},
pages={275-282},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001414202750282},
isbn={972-8865-32-5},
}

TY - CONF

JO - Proceedings of the Second International Conference on e-Business and Telecommunication Networks - Volume 1: ICETE,
TI - OPTIMAL TRADE-OFF FOR MERKLE TREE TRAVERSAL
SN - 972-8865-32-5
AU - Karpinski, M.
AU - Nekrich†, Y.
PY - 2005
SP - 275
EP - 282
DO - 10.5220/0001414202750282

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