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In somewhat homomorphic encryption schemes (e.g. B/FV, BGV) the size of ciphertexts and the execution performance of homomorphic operations depends heavily on the multiplicative depth. The multiplicat...
In this work we propose a multi-start heuristic which aims at minimizing the multiplicative depth of boolean circuits. The multiplicative depth objective is encountered in the field of homomorphic enc...
This paper is concerned with two variants of the transformation that appear but have not been clearly delineated in existing literature. Both variants start with the prover making a commitment. The st...
Most applicable lattice reduction algorithms used in practice are BKZ (Block-Korkine-Zolotarev) type algorithms as the blockwise generalizations of the LLL algorithm (Lenstra-Lenstra-Lovasz). Its orig...
Differential and linear cryptanalysis are the general purpose tools to analyze various cryptographic primitives. Both techniques have in common that they rely on the existence of good differential o...
SNOW 2.0 is a word oriented stream cipher that has been selected as a standard stream cipher on ISO/IEC 18033-4. One of the general attacks on the stream ciphers is Guess and Determine attack. Heuris...
The question of compatibility of differential paths plays a central role in second order collision attacks on hash functions. In this context, attacks typically proceed by starting from the middle and...
In this paper, we present an improvement of the Nguyen-Vidick heuristic sieve algorithm for shortest vector problem in general lattices, which time complexity is 2^{0.3836n} polynomial computations, a...

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