Shrinking the keys of discrete-log-type lossy trapdoor functions

Boyen, Xavier & Waters, Brent (2010) Shrinking the keys of discrete-log-type lossy trapdoor functions. Lecture Notes in Computer Science, 6123, pp. 35-52.

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Abstract

To this day, realizations in the standard-model of (lossy) trapdoor functions from discrete-log-type assumptions require large public key sizes, e.g., about Θ(λ 2) group elements for a reduction from the decisional Diffie-Hellman assumption (where λ is a security parameter). We propose two realizations of lossy trapdoor functions that achieve public key size of only Θ(λ) group elements in bilinear groups, with a reduction from the decisional Bilinear Diffie-Hellman assumption.

Our first construction achieves this result at the expense of a long common reference string of Θ(λ 2) elements, albeit reusable in multiple LTDF instantiations. Our second scheme also achieves public keys of size Θ(λ), entirely in the standard model and in particular without any reference string, at the cost of a slightly more involved construction.

The main technical novelty, developed for the second scheme, is a compact encoding technique for generating compressed representations of certain sequences of group elements for the public parameters.

Impact and interest:

8 citations in Scopus
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8 citations in Web of Science®

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ID Code: 69176
Item Type: Journal Article
Refereed: Yes
Additional Information: Proceedings of the 8th International Conference, ACNS 2010, Beijing, China, June 22-25, 2010.
Keywords: Data encryption, Systems and Data Security
DOI: 10.1007/978-3-642-13708-2_3
ISSN: 0302-9743
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2010 Springer-Verlag Berlin Heidelberg
Deposited On: 26 Mar 2014 01:04
Last Modified: 09 Dec 2014 19:47

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