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The lattice A n * is an important lattice because of its covering properties in low dimensions. Clarkson described an algorithm to compute the nearest lattice point in A n * that requires O(n log n) arithmetic operations. In this correspondence, we describe a new algorithm. While the complexity is still O(n log n), it is significantly simpler to describe and verify. In practice, we find that the new algorithm also runs faster.

An Algorithm to Compute the Nearest Point in the Lattice $A_{n}^*$