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Erschienen in:
Efficient (Ideal) Lattice Sieving Using Cross-Polytope LSH Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

An Efficient Lattice-Based Signature Scheme with Provably Secure Instantiation

verfasst von : Sedat Akleylek, Nina Bindel, Johannes Buchmann, Juliane Krämer, Giorgia Azzurra Marson

Erschienen in: Progress in Cryptology – AFRICACRYPT 2016

Verlag: Springer International Publishing

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Abstract

In view of the expected progress in cryptanalysis it is important to find alternatives for currently used signature schemes such as RSA and ECDSA. The most promising lattice-based signature schemes to replace these schemes are (CRYPTO 2013) and GLP (CHES 2012). Both come with a security reduction from a lattice problem and have high performance. However, their parameters are not chosen according to their provided security reduction, i.e., the instantiation is not provably secure. In this paper, we present the first lattice-based signature scheme with good performance when provably secure instantiated. To this end, we provide a tight security reduction for the new scheme from the ring learning with errors problem which allows for provably secure and efficient instantiations. We present experimental results obtained from a software implementation of our scheme. They show that our scheme, when provably secure instantiated, performs comparably with BLISS and the GLP scheme.

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Vorheriges Kapitel On the Hardness of LWE with Binary Error: Revisiting the Hybrid Lattice-Reduction and Meet-in-the-Middle Attack
Nächstes Kapitel A Fast and Compact FPGA Implementation of Elliptic Curve Cryptography Using Lambda Coordinates
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1
Sometimes benchmarks are given as the median instead of the average value. Due to the rejection sampling, taking the median value of our experiments would be overly optimistic for \(\mathsf {Sign}\).
 
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Metadaten
Titel
An Efficient Lattice-Based Signature Scheme with Provably Secure Instantiation
verfasst von
Sedat Akleylek
Nina Bindel
Johannes Buchmann
Juliane Krämer
Giorgia Azzurra Marson
Copyright-Jahr
2016
Buch
Progress in Cryptology – AFRICACRYPT 2016

Print ISBN: 978-3-319-31516-4

Electronic ISBN: 978-3-319-31517-1

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-31517-1_3