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2015 | OriginalPaper | Chapter

Efficient Fully Structure-Preserving Signatures for Large Messages

Author : Jens Groth

Published in: Advances in Cryptology -- ASIACRYPT 2015

Publisher: Springer Berlin Heidelberg

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Abstract

We construct both randomizable and strongly existentially unforgeable structure-preserving signatures for messages consisting of many group elements. To sign a message consisting of \(N=mn\) group elements we have a verification key size of m group elements and signatures contain \(n+2\) elements. Verification of a signature requires evaluating \(n+1\) pairing product equations.

We also investigate the case of fully structure-preserving signatures where it is required that the secret signing key consists of group elements only. We show a variant of our signature scheme allowing the signer to pick part of the verification key at the time of signing is still secure. This gives us both randomizable and strongly existentially unforgeable fully structure-preserving signatures. In the fully structure preserving scheme the verification key is a single group element, signatures contain \(m+n+1\) group elements and verification requires evaluating \(n+1\) pairing product equations.

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previous chapter Four: Four-Dimensional Decompositions on a -curve over the Mersenne Prime

next chapter A Provably Secure Group Signature Scheme from Code-Based Assumptions

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Title: Efficient Fully Structure-Preserving Signatures for Large Messages
Author: Jens Groth
Publisher: Springer Berlin Heidelberg
Book: Advances in Cryptology -- ASIACRYPT 2015
Print ISBN: 978-3-662-48796-9

Electronic ISBN: 978-3-662-48797-6

Copyright Year: 2015
DOI: https://doi.org/10.1007/978-3-662-48797-6_11

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