Encoding and indexing of lattice codes is generalized from self-similar lattice codes to a
broader class of lattices. If coding lattice A c and shaping lattice A s satisfy A s⊆ A c, then A …

This paper deals with Low-Density Construction-A (LDA) lattices, which are obtained via
Construction A from non-binary low-density parity-check codes. More precisely, a proof is …

Lattice codes are elegant and powerful structures that not only achieve the capacity of the
additive white Gaussian noise (AWGN) channel but are also a key ingredient to many …

Most multi-dimensional (more than two dimensions) lattice partitions only form additive
quotient groups and lack multiplication operations. This prevents us from constructing lattice …

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 …

Low-density parity-check (LDPC) lattices were the first family of lattices to show efficient
decoding in high dimensions. We consider a case of these lattices with one binary LDPC …

In this paper, we introduce a new family of lattices, namely QC-MDPC lattices, which are a
special case of LDPC lattices, and an improved bit flipping algorithm for decoding of these …

We propose a new nonlinear Rao-Nam like symmetric key encryption scheme. In our
design, we employ a specific type of coded modulation schemes namely quasi-cyclic low …

This paper investigates nested lattice codes generated through Construction A from the ring
of integers of an imaginary quadratic field. Our primary goal is to offer a streamlined proof of …

The multi-input multi-output–orthogonal frequency division multiplexing (MIMO–OFDM)
system serves as one of the most promising techniques that support high data rate and high …