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The General Sieve Kernel and New Records in Lattice Reduction
cryptanalysis lattice reduction sieving
2019/1/29
We propose the General Sieve Kernel (G6K, pronounced /ʒe.si.ka/), an abstract stateful machine supporting a wide variety of lattice reduction strategies based on sieving algorithms. Using the bas...
On the Hardness of LWE with Binary Error: Revisiting the Hybrid Lattice-Reduction and Meet-in-the-Middle Attack
Learning with Errors Lattice-based Cryptography Cryptanalysis
2016/2/23
The security of many cryptographic schemes has been based on special instances of the Learning with Errors (LWE) problem, e.g., Ring-LWE, LWE with binary secret, or LWE with ternary error. However, re...
Structural Lattice Reduction: Generalized Worst-Case to Average-Case Reductions and Homomorphic Cryptosystems
Lattices Worst-case to Average-case Reductions Homomorphic Encryption
2016/1/23
In lattice cryptography, worst-case to average-case reductions rely on two problems: Ajtai’s SIS and Regev’s LWE, which both refer to a very small class of random lattices related to the group G = Z...