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  SQUARE Attacks on Reduced-Round PES and IDEA Block Ciphers

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by Jorge Nakahara, Paulo S. L. M. Barreto, Bart Preneel, Joos V, Hae Y. Kim
http://www.cosic.esat.kuleuven.ac.be/nessie/reports/phase2/nessie-idea.pdf
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Abstract:

Abstract. This paper reports on variants of the Square attack applied to reduced-round versions of the PES and IDEA block ciphers 3. Attacks on 2.5 rounds of IDEA require 3·2 16 chosen-plaintexts and recover 77 key bits with a time complexity of 2 62. A new kind of attack, the related-key Square attack, is applied to 2.5 rounds of IDEA and recovers 32 key bits, with two chosen-plaintexts and 2 17 related keys with a time complexity of 2 41. Similar results hold for 2.5 rounds of PES. Implementations of the attacks on 32-bit block mini-versions of both ciphers confirmed the expected computational complexity. Although our attacks do not improve on previous approaches, this report shows new variants of the Square attack on word-oriented block ciphers like IDEA and PES. 1

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