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This paper presents an efficient algorithm for integer lattice reduction that iteratively reduces the Euclidean norms of basis vectors while maintaining the integrity of the original lattice. The algorithm selects basis vectors to project off components, ensuring monotonic reduction of norms through efficient computation using a Gram matrix. The proposed method complements existing algorithms like the LLL algorithm, aiming to enhance their outputs, although it may converge to local minima rather than the op

Author

aperez900907

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EN