Title :
Product Construction of Lattices as Error-Correcting Codes
Author :
Salomon, Amir John ; Amrani, Ofer
Author_Institution :
Dept. of Electr. Eng.-Syst., Tel-Aviv Univ.
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
Keywords :
channel coding; error correction codes; telecommunication channels; Kronecker product; bandwidth-limited channel; error-correcting codes; lattice codes; low-dimensional lattices; product lattice construction; Constellation diagram; Context; Digital communication; Error correction codes; Galois fields; Iterative decoding; Lattices; Modulation coding; Product codes; Tensile stress; Barnes–Wall lattice; Leech lattice; coset codes; lattice codes; product codes;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2006.885054
