In this correspondence, the construction of low-density parity-check (LDPC) codes from
circulant permutation matrices is investigated. It is shown that such codes cannot have a …

This paper introduces several new combinatorial constructions of low-density parity-check
(LDPC) codes, in contrast to the prevalent practice of using long, random-like codes. The …

This letter introduces a combinatorial construction of girth-eight high-rate low-density parity-
check codes based on integer lattices. The parity-check matrix of a code is defined as a …

Two algebraic methods for systematic construction of structured regular and irregular low-
density parity-check (LDPC) codes with girth of at least six and good minimum distances are …

Rapid advances in recording materials, read/write heads, and mechanical designs over the
last 15 years have led to the need for more complicated signal processing, coding, and …

Construction of low-density parity-check codes by superposition Page 1 IEEE TRANSACTIONS
ON COMMUNICATIONS, VOL. 53, NO. 2, FEBRUARY 2005 243 Transactions Papers …

Low-density parity-check (LDPC) codes are serious contenders to turbo codes in terms of
decoding performance. One of the main problems is to give an explicit construction of such …

(57) ABSTRACT A method for generating a parity check matrix of a block LDPC code is
disclosed. The parity check matrix includes an information part corresponding to an …

We have three main goals in this paper. First, we will show the equivalences and
relationships among some of the well-known classes of structured low density parity check …

(57) ABSTRACT A system and method for processing a block Low Density Parity Check
(LDPC) code are provided. The system includes, a decoding apparatus for decoding a block …