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 …

Low density parity check (LDPC) codes with iterative decoding based on belief propagation
achieve astonishing error performance close to Shannon limit. No algebraic or geometric …

LDPC codes with iterative decoding based on belief propagation have been shown to
achieve astonishing error performance. But no algebraic or geometric method has been …

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 a specialized class of irregular low-density parity-check (LDPC) codes
of moderate length (lo3 5 n 5 lo4) and high rate (R 2 3/4). Codes in this class admit low …

LDPC codes were invented in 1960 by R. Gallager. They were largely ignored until the
discovery of turbo codes in 1993. Since then, LDPC codes have experienced a renaissance …

Low-density parity-check (LDPC) codes have been shown to have good error correcting
performance approaching Shannon's limit. Good error correcting performance enables …

We present a tree-based construction of low-density parity-check (LDPC) codes that have
minimum pseudocodeword weight equal to or almost equal to the minimum distance, and …

This letter presents a systematic and recursive method to construct good low-density parity-
check (LDPC) codes, especially those with high rate. The proposed method uses a parity …