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- Hassan Khodaiemehr, Dariush Kiani, Mohammad-Reza Sadeghi
- 2015 Iran Workshop on Communication and…
- 2015

LDPC lattices were first family of lattices which have efficient decoding algorithm in high dimensions. An LDPC lattice can be constructed from Construction D' and a number of nested LDPC codes. When we consider one code as underlying code of these lattices, one-level LDPC lattices will be obtained. In this paper we propose a new encoding and decoding… (More)

- Hassan Khodaiemehr, Mohammad-Reza Sadeghi, Amin Sakzad
- ArXiv
- 2016

LDPC lattices were the first family of lattices that equipped with iterative decoding algorithms under which they perform very well in high dimensions. In this paper, we introduce quasi cyclic low density parity check (QC-LDPC) lattices as a special case of LDPC lattices with one binary QC-LDPC code as their underlying code. These lattices are obtained from… (More)

- Hassan Khodaiemehr, Mohammad-Reza Sadeghi, Amin Sakzad
- IEEE Trans. Communications
- 2017

- Hassan Khodaiemehr, Mohammad-Reza Sadeghi, Daniel Panario
- 2016 IEEE International Symposium on Information…
- 2016

LDPC lattices were the first family of lattices which have an efficient decoding algorithm in high dimensions over an AWGN channel. When we consider Construction D' of lattices with one binary LDPC code as its underlying code, 1-level LDPC lattices are obtained. Block fading channel (BF) is a useful model for various wireless communication channels in both… (More)

- Hassan Khodaiemehr, Dariush Kiani
- IEEE Transactions on Information Theory
- 2017

Quasi-cyclic (QC) low-density parity-check (LDPC) codes which are known as QC-LDPC codes, have many applications due to their simple encoding implementation by the means of cyclic shift registers. In this paper, we construct QC-LDPC codes from group rings. A group ring is a free module (at the same time a ring) constructed in a natural way from any given… (More)

- Hassan Khodaiemehr, Dariush Kiani, Mohammad-Reza Sadeghi
- IEEE Trans. Communications
- 2017

Low density parity check (LDPC) lattices are obtained from Construction D’ and a family of nested binary LDPC codes. We consider an special case of these lattices with one binary LDPC code as underlying code. This special case of LDPC lattices can be obtained by lifting binary LDPC codes using Construction A lattices. The LDPC lattices were the first family… (More)

- Hassan Khodaiemehr, Dariush Kiani
- Adv. in Math. of Comm.
- 2015

LDPC lattices were the first family of lattices which have an efficient decoding algorithm in high dimensions over an AWGN channel. Considering Construction D’ of lattices with one binary LDPC code as underlying code gives the well known Construction A LDPC lattices or 1-level LDPC lattices. Block-fading channel (BF) is a useful model for various wireless… (More)

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