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Product Construction of Lattices as Error-Correcting Codes

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2 Author(s)
Amir John Salomon ; Dept. of Electr. Eng.-Syst., Tel-Aviv Univ. ; Ofer Amrani

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

Published in:

IEEE Transactions on Communications  (Volume:55 ,  Issue: 1 )