By Michael Lehmann, Willi Meier (auth.), Josef Pieprzyk, Ahmad-Reza Sadeghi, Mark Manulis (eds.)

This publication constitutes the refereed court cases of the eleventh foreign convention on Cryptology and community safety, CANS 2012, held in Darmstadt, Germany, in December 2012. The 22 revised complete papers, provided have been conscientiously reviewed and chosen from ninety nine submissions. The papers are equipped in topical sections on cryptanalysis; community safeguard; cryptographic protocols; encryption; and s-box theory.

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Extra resources for Cryptology and Network Security: 11th International Conference, CANS 2012, Darmstadt, Germany, December 12-14, 2012. Proceedings

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K) (k) hm1 hm2 · · · hmm tm cm rm be the k-th ciphertext, where k ∈ {1, 2, · · · , l}. 2, each row of R can be determined correctly with a probability 1 − 2−l , and can be correctly determined with a probability 1 − (1) (2) (l) 2 · 2−l since we can correctly determine uk when ck , ck , · · · , ck are not the (1) (2) (l) same, namely when (rk , rk , · · · , rk ) = (1, · · · , 1) and (0, · · · , 0). Thus, about (1 − 21−l )m rows of R can be determined surely. Without loss of generality, we assume the remaining undetermined rows of R are the last ρ = 21−l m ones.

403–415. Springer, Heidelberg (2011) 3. : On Lov´ asz lattice reduction and the nearest lattice point problem. Combinatorica 6, 1–13 (1986) 4. : Algebraic Cryptanalysis. Springer, Heidelberg (2001) ISBN 978-0-38788756-2 Cryptanalysis of a Lattice-Knapsack Mixed Public Key Cryptosystem 41 5. : The Magma Algebra System I: The user language. Journal of Symbolic Computation 24, 235–265 (1997) 6. : A Lattice-Based Public-Key Cryptosystem. , Meijer, H. ) SAC 1998. LNCS, vol. 1556, pp. 219–233. Springer, Heidelberg (1999) 7.

In such settings, in particular if the number of attacked keys is large, other values of r might result in a better overall complexity. In Table 1 we give the complexities and memory requirements for different choices of r. Table 1. 2 29 A Memory-Less Variant of the Attack In practice, there is a profound imbalance between the cost of storage and the cost of computations. Hence, the high memory requirements of the attack could be seen as the bottleneck of the attack. It is therefore important to note that the attack with r = 2n/2 can be implemented with negligible memory requirements and only a small increase in runtime by using a memory-less variant of the meet-in-the-middle attack introduced by Quisquater and Delescaille [14].

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