[Resource Topic] 2002/152: A note on Weak Keys of PES, IDEA and some Extended Variants

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Title:
A note on Weak Keys of PES, IDEA and some Extended Variants

Authors: Jorge Nakahara Jr, Bart Preneel, Joos Vandewalle

Abstract:

This paper presents an analysis of the PES cipher in a similar setting as
done by Daemen et al. at Crypto’93 for IDEA. The following results were
obtained for 8.5 round PES: a linear weak-key class of size
2^{48}; two distinct differential weak-key classes of size 2^{41}; two
differential-linear weak-key classes of size 2^{62}. For 17-round PES
(double-PES): a linear weak-key class of size 2^7, and a differential
weak-key class of size 2^7 were found. Daemen suggested a modified key
schedule for IDEA in order to avoid weak keys. We found a differential
weak-key class of size 2^{83} for 2.5-round IDEA under his redesigned
key schedule, and differential-linear relations for 3.5-round IDEA.

ePrint: https://eprint.iacr.org/2002/152

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