Integer Low-Density Lattices based on Construction A Conference Paper uri icon


  • We describe a new family of integer lattices built from construction A and non-binary LDPC codes. An iterative message-passing algorithm suitable for decoding in high dimensions is proposed. This family of lattices, referred to as LDA lattices, follows the recent transition of Euclidean codes from their classical theory to their modern approach as announced by the pioneering work of Loeliger (1997), Erez, Litsyn, and Zamir (2004-2005). Besides their excellent performance near the capacity limit, LDA lattice construction is conceptually simpler than previously proposed lattices based on multiple nested binary codes and LDA decoding is less complex than real-valued message passing. 2012 IEEE.

name of conference

  • 2012 IEEE Information Theory Workshop

published proceedings


author list (cited authors)

  • di Pietro, N., Boutros, J. J., Zemor, G., & Brunel, L.

citation count

  • 39

complete list of authors

  • di Pietro, Nicola||Boutros, Joseph J||Zemor, Gilles||Brunel, Loic

publication date

  • January 2012