Construction of LDGM lattices

Hassan Mehri; Mohammad Reza Sadeghi

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arXiv · 1205.5863

Construction of LDGM lattices

Hassan Mehri·Mohammad Reza Sadeghi

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Abstract

Low density generator matrix (LDGM) codes have an acceptable performance under iterative decoding algorithms. This idea is used to construct a class of lattices with relatively good performance and low encoding and decoding complexity. To construct such lattices, Construction D is applied to a set of generator vectors of a class of LDGM codes. Bounds on the minimum distance and the coding gain of the corresponding lattices and a corollary for the cross sections and projections of these lattices are provided. The progressive edge growth (PEG) algorithm is used to construct a class of binary codes to generate the corresponding lattice. Simulation results confirm the acceptable performance of these class of lattices.

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Hassan Mehri, Mohammad Reza Sadeghi. 2012-05-26. Construction of LDGM lattices. https://arxiv.org/abs/1205.5863

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