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The Lenstra–Lenstra–Lovász (LLL) lattice basis reduction algorithm efficiently finds a short, nearly orthogonal lattice basis form an arbitrary one
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Why is the Lovász condition used in the LLL algorithm?
Personally, I find that the QR decomposition makes the condition a lot more intuitive, in addition to being the computationally efficient way to implement LLL. Since the problem of finding a short bas …