Structured quasi-cyclic LDPC codes with girth 18 and column-weight J⩾ 3

M Esmaeili, M Gholami - AEU-International Journal of Electronics and …, 2010 - Elsevier
A class of maximum-girth geometrically structured quasi-cyclic (QC) low-density parity-check
(LDPC) codes with column-weight J⩾ 3 is presented. The method is based on the slope …

Geometrically-structured maximum-girth LDPC block and convolutional codes

M Esmaeili, M Gholami - IEEE Journal on Selected Areas in …, 2009 - ieeexplore.ieee.org
Four classes of maximum-girth geometrically structured column-weight-two regular quasi-
cyclic (QC) low-density parity-check (LDPC) codes are introduced. Two classes of these …

4-cycle free LDPC codes based on difference sets

M Esmaeili, M Javedankherad - IEEE transactions on …, 2012 - ieeexplore.ieee.org
Difference sets are used to give a novel method for constructing structured regular quasi-
cyclic low-density parity-check codes. Let F q be a field with q elements and assume that …

A new construction of structured binary regular LDPC codes based on Steiner systems with parameter t> 2

H Falsafain, M Esmaeili - IEEE transactions on communications, 2011 - ieeexplore.ieee.org
This paper presents a novel method for constructing structured regular low-density parity-
check (LDPC) codes based on a special type of combinatorial designs, known as Steiner …

Low-complexity girth-8 high-rate moderate length QC LDPC codes

M Esmaeili, MH Tadayon, TA Gulliver - AEU-International Journal of …, 2010 - Elsevier
A low-complexity method for constructing a large class of high-rate girth-8 quasi-cyclic low-
density parity-check (LDPC) codes with moderate length 1000< n< 10000 is presented. This …

Maximum-girth slope-based quasi-cyclic (2, k≥ 5) low-density parity-check codes

M Esmaeili, M Gholami - IET communications, 2008 - IET
A class of maximum-girth geometrically structured regular (n, 2, k≥ 5)(column-weight 2 and
row-weight k) quasi-cyclic low-density parity-check (LDPC) codes is presented. The method …

Maximum-girth cylinder-type block-circulant LDPC codes

M Gholami, M Esmaeili - IEEE transactions on communications, 2012 - ieeexplore.ieee.org
In this paper, a particular class of block-circulant low-density parity-check (BC-LDPC) codes
referred to as cylinder-type BC-LDPC (CTBC-LDPC) codes is studied. We represent a …

A lattice-based systematic recursive construction of quasi-cyclic LDPC codes

M Esmaeili, MH Tadayon - IEEE transactions on …, 2009 - ieeexplore.ieee.org
This paper presents a low-complexity recursive and systematic method to construct good
well-structured low-density parity-check (LDPC) codes. The method is based on a recursive …

Two-dimensional multiplicative arrays over Zq− 1 and girth-6 q-ary QC-LDPC codes based on quadratic-residues modulo p< q

M Esmaeili, M Salahian, MH Tadayon - AEU-International Journal of …, 2011 - Elsevier
Construction of q-ary quasi-cyclic low-density parity-check (QC-LDPC) codes based on two-
dimensional multiplicative arrays over Zq− 1, q= 2m, is studied. In particular, two …

On the stopping distance of SA-LDPC codes by transversal designs

Z Ferdosi, F Rahmati, MH Tadayon - IEEE Access, 2018 - ieeexplore.ieee.org
In this paper, we analyze the size of the smallest stopping set (called the stopping distance)
for the parity-check matrix of a superposed array low-density parity-check (SA-LDPC) code …