Key-Recovery Attacks on ASASA

Key-Recovery Attacks on ASASA The $$\mathsf {ASASA}$$ ASASA construction is a new design scheme introduced at Asiacrypt 2014 by Biryukov, Bouillaguet and Khovratovich. Its versatility was illustrated by building two public-key encryption schemes, a secret-key scheme, as well as super S-box subcomponents of a white-box scheme. However, one of the two public-key cryptosystems was recently broken at Crypto 2015 by Gilbert, Plût and Treger. As our main contribution, we propose a new algebraic key-recovery attack able to break at once the secret-key scheme as well as the remaining public-key scheme, in time complexity $$2^{63}$$ 2 63 and $$2^{39}$$ 2 39 , respectively (the security parameter is 128 bits in both cases). Furthermore, we present a second attack of independent interest on the same public-key scheme, which heuristically reduces the problem of breaking the scheme to an $$\mathsf {LPN}$$ LPN instance with tractable parameters. This allows key recovery in time complexity $$2^{56}$$ 2 56 . Finally, as a side result, we outline a very efficient heuristic attack on the white-box scheme, which breaks instances claiming 64 bits of security under one minute on a laptop computer. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Cryptology Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © 2017 by International Association for Cryptologic Research
Subject
Computer Science; Coding and Information Theory; Computational Mathematics and Numerical Analysis; Combinatorics; Probability Theory and Stochastic Processes; Communications Engineering, Networks
ISSN
0933-2790
eISSN
1432-1378
D.O.I.
10.1007/s00145-017-9272-x
Publisher site
See Article on Publisher Site

Abstract

The $$\mathsf {ASASA}$$ ASASA construction is a new design scheme introduced at Asiacrypt 2014 by Biryukov, Bouillaguet and Khovratovich. Its versatility was illustrated by building two public-key encryption schemes, a secret-key scheme, as well as super S-box subcomponents of a white-box scheme. However, one of the two public-key cryptosystems was recently broken at Crypto 2015 by Gilbert, Plût and Treger. As our main contribution, we propose a new algebraic key-recovery attack able to break at once the secret-key scheme as well as the remaining public-key scheme, in time complexity $$2^{63}$$ 2 63 and $$2^{39}$$ 2 39 , respectively (the security parameter is 128 bits in both cases). Furthermore, we present a second attack of independent interest on the same public-key scheme, which heuristically reduces the problem of breaking the scheme to an $$\mathsf {LPN}$$ LPN instance with tractable parameters. This allows key recovery in time complexity $$2^{56}$$ 2 56 . Finally, as a side result, we outline a very efficient heuristic attack on the white-box scheme, which breaks instances claiming 64 bits of security under one minute on a laptop computer.

Journal

Journal of CryptologySpringer Journals

Published: Nov 28, 2017

References

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