Product construction of lattices as error-correcting codes

Amir John Salomon*, Ofer Amrani

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Issue number1
StatePublished - Jan 2007


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


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