Title :
Design considerations leading to the development of good π-rotation LDPC codes
Author :
Echard, Rich ; Chang, Shih-Chun
Author_Institution :
Naval Res. Lab., Washington, DC, USA
fDate :
5/1/2005 12:00:00 AM
Abstract :
In this letter we present two theoretical results that lead to the development of good π-rotation LDPC codes. The first theorem derives bounds on the weight of the parity vector when the weight of the information vector is two. The second theorem establishes the expected number of short-loops in the parity check matrix. Several performance examples are given.
Keywords :
lattice theory; matrix algebra; parity check codes; vectors; LDPC code; Manhattan metric; good π-rotation; information vector weight; lattice point; parity check matrix; parity vector weight; Circuits; Helium; Laboratories; Lattices; Parity check codes; Turbo codes;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2005.1431167
