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Cryptanalysis of the LANE hash function. (English) Zbl 1267.94103
Jacobson, Michael J. jun. (ed.) et al., Selected areas in cryptography. 16th annual international workshop, SAC 2009, Calgary, Alberta, Canada, August 13–14, 2009. Revised selected papers. Berlin: Springer (ISBN 978-3-642-05443-3/pbk). Lecture Notes in Computer Science 5867, 126-140 (2009).
Summary: The LANE[4] hash function is designed by Sebastiaan Indesteege and Bart Preneel. It is now a first round candidate of NIST’s SHA-3 competition. The LANE hash function contains four concrete designs with different digest length of 224, 256, 384 and 512.
The LANE hash function uses two permutations $$P$$ and $$Q$$, which consist of different number of AES[1]-like rounds. LANE-224/256 uses 6-round $$P$$ and 3-round $$Q$$. LANE-384/512 uses 8-round $$P$$ and 4-round $$Q$$. We use LANE-$$n$$-$$(a,b)$$ to denote a variant of LANE with $$a$$-round $$P$$, $$b$$-round $$Q$$ and a digest length $$n$$.
We have found a semi-free start collision attack on reduced-round LANE-256-(3,3) with complexity of $$2^{62}$$ compression function evaluations and $$2^{69}$$ memory. This technique can be applied to LANE-512-(3,4) to get a semi-free start collision attack with the same complexity of $$2^{62}$$ and $$2^{69}$$ memory. We also propose a collision attack on LANE-512-(3,4) with complexity of $$2^{94}$$ and $$2^{133}$$ memory.
For the entire collection see [Zbl 1177.94012].

##### MSC:
 94A60 Cryptography
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