Product construction of lattices as error-correcting codes

Amir John Salomon*, Ofer Amrani

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This letter investigates the so-called product lattice (PL) construction. A PL is obtained from two low-dimensional lattices by means of the Kronecker product. Fundamental properties, mainly those determining the performance of a lattice as an error-correcting scheme over a bandwidth-limited channel, are derived for PLs. Due to their special structure and properties, PLs can provide an attractive family of lattice codes of good performance/complexity tradeoffs.

Original languageEnglish
Pages (from-to)3-10
Number of pages8
JournalIEEE Transactions on Communications
Volume55
Issue number1
DOIs
StatePublished - Jan 2007

Funding

FundersFunder number
Yitzhak and Chaya Weinstein Research Institute for Signal Processing

    Keywords

    • Barnes-Wall lattice
    • Coset codes
    • Lattice codes
    • Leech lattice
    • Product codes

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