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

نویسندگان

  • Robby G. McKilliam
  • I. Vaughan L. Clarkson
  • Barry G. Quinn
چکیده

The lattice A∗ n is an important lattice because of its covering properties in low dimensions. Clarkson [1] described an algorithm to compute the nearest lattice point in A∗ n that requires O(n log n) arithmetic operations. In this paper, 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.

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عنوان ژورنال:
  • IEEE Trans. Information Theory

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2008