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 language | English |
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Pages (from-to) | 3-10 |
Number of pages | 8 |
Journal | IEEE Transactions on Communications |
Volume | 55 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2007 |
Keywords
- Barnes-Wall lattice
- Coset codes
- Lattice codes
- Leech lattice
- Product codes