Paper 2010/580 Original: eprint.iacr.org/2010/580 ↗

The Cube Attack on Stream Cipher Trivium and Quadraticity Tests

Piotr Mroczkowski
Janusz Szmidt
Abstract

In 2008 I. Dinur and A. Shamir presented a new type of algebraic attack on symmetric ciphers named cube attack. The method has been applied to reduced variants of stream ciphers Trivium and Grain- 128, reduced variants of the block ciphers Serpent and CTC and to a reduced version of the keyed hash function MD6. Independently a very similar attack named AIDA was introduced by M. Vielhaber. In this paper we develop quadraticity tests within the cube attack and apply them to a variant of stream cipher Trivium reduced to 709 initialization rounds. Using this method we obtain the full 80-bit secret key. In this way it eliminates the stage of brute force search of some secret key bits which occured in previous cube attacks.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2010-11-18: last updated
2010-11-18: published
Short URL
https://ia.cr/2010/580
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2010/580,
      author = {Piotr Mroczkowski and Janusz Szmidt},
      title = {The Cube Attack on Stream Cipher Trivium and Quadraticity Tests},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/580},
      year = {2010},
      url = {https://eprint.iacr.org/2010/580}
}
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