An algorithm to compute the nearest point in the lattice An *

Robby G. McKilliam*, I. Vaughan L Clarkson, Barry G. Quinn

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)
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    The lattice An* is an important lattice because of its covering properties in low dimensions. Clarkson described an algorithm to compute the nearest lattice point in An * 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.

    Original languageEnglish
    Pages (from-to)4378-4381
    Number of pages4
    JournalIEEE Transactions on Information Theory
    Issue number9
    Publication statusPublished - 2008

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    Copyright [2008] IEEE. Reprinted from [IEEE transactions on information theory, 54:9, 4378-4381]. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie University’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

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