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What is Lattice cryptography?
Lattice cryptography is interesting for a few reasons. For one thing, nobody knows how to break it with a quantum computer, which would be pretty important if anyone knew how to build a quantum computer.
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Interesting, but I believe any historical talk about lattices, at least in the context of computer science, necessarily has to start with a mention of the Lenstra-Lenstra-Lovasz algorithm (LLL algorithm) from the 1982 paper "Factoring polynomials with rational coefficients". It was an algorithmic breakthrough, gave a efficient approximate solution to lattice problems. It had an exponential approximation factor, but very good in practice. The killer app was cryptanalysis.
If you're going to plagiarize comments to make your latest spamming/vote-selling sockpuppet account level up, the least you could do would be to get the hyperlinks across. Geez.