This correspondence presents three algebraic methods for constructing low-density parity-
check (LDPC) codes. These methods are based on the structural properties of finite …

This paper presents a geometric approach to the construction of low-density parity-check
(LDPC) codes. Four classes of LDPC codes are constructed based on the lines and points of …

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

This paper presents an algebraic method for constructing regular low-density parity-check
(LDPC) codes based on Reed-Solomon codes with two information symbols. The …

This paper shows that several attractive classes of quasi-cyclic (QC) low-density parity-
check (LDPC) codes can be obtained from affine planes over finite fields. One class of these …

The use of partial geometries to construct parity-check matrices for binary low-density parity-
check (LDPC) codes has resulted in the design of successful codes with a probability of …

Low density parity check (LDPC) codes with iterative decoding based on belief propagation
(IDBP) achieve astonishing error performance close to the Shannon limit. Until now there …

Near Shannon limit quasi-cyclic low-density parity-check codes Page 1 Near Shannon Limit
Quasi-Cyclic Low-Density Parity-Check Codes Shu Lin, Lei Chen, Jun Xu, and Ivana Djurdjevic …

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 …

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 …