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- W3031741190 abstract "We show how to construct a variety of cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the shortest nonzero vector to within certain polynomial factors). Our contributions include a new notion of trapdoor function with preimage sampling, simple and efficient hash-and-sign digital signature schemes, and identity-based encryption. A core technical component of our constructions is an efficient algorithm that, given a basis of an arbitrary lattice, samples lattice points from a discrete Gaussian probability distribution whose standard deviation is essentially the length of the longest Gram-Schmidt vector of the basis. A crucial security property is that the output distribution of the algorithm is oblivious to the particular geometry of the given basis." @default.
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- W3031741190 date "2007-01-01" @default.
- W3031741190 modified "2023-09-22" @default.
- W3031741190 title "Trapdoors for Hard Lattices and New Cryptographic Constructions." @default.
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