An Introduction to Lenstra-Lenstra-Lovasz Lattice Basis Reduction Algorithm
نویسنده
چکیده
Lenstra-Lenstra-Lovasz (LLL) Algorithm is an approximation algorithm of the shortest vector problem, which runs in polynomial time and finds an approximation within an exponential factor of the correct answer. It is a practical method with enough accuracy in solving integer linear programming, factorizing polynomials over integers and breaking cryptosystems. In this paper, we introduce its background and implementation, analyze its correctness and performance and discuss its applications.
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