Some ``Goodness'' Properties of LDA Lattices

Vatedka, S and Kashyap, N (2017) Some ``Goodness'' Properties of LDA Lattices. In: PROBLEMS OF INFORMATION TRANSMISSION, 53 (1). pp. 1-29.

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Abstract

We study some structural properties of Construction-A lattices obtained from low density parity check codes over prime fields. Such lattices are called low density Construction-A (LDA) lattices, and permit low-complexity belief propagation decoding for transmission over Gaussian channels. It has been shown that LDA lattices achieve the capacity of the power constrained additive white Gaussian noise (AWGN) channel with closest lattice-point decoding, and simulations suggested that they perform well under belief propagation decoding. We continue this line of work and prove that these lattices are good for packing and mean squared error quantization and that their duals are good for packing. With this, we can conclude that codes constructed using nested LDA lattices can achieve the capacity of the power constrained AWGN channel, the capacity of the dirty paper channel, the rates guaranteed by the computeand-forward protocol, and the best known rates for bidirectional relaying with perfect secrecy.

Item Type:	Journal Article
Publication:	PROBLEMS OF INFORMATION TRANSMISSION
Publisher:	MAIK NAUKA/INTERPERIODICA/SPRINGER, 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Additional Information:	Copy right for this article belongs to the MAIK NAUKA/INTERPERIODICA/SPRINGER, 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	20 May 2017 07:27
Last Modified:	20 May 2017 07:27
URI:	http://eprints.iisc.ac.in/id/eprint/56974

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