Title :
On the Stopping Distance of Array Code Parity-Check Matrices
Author :
Esmaeili, Morteza ; Amoshahy, Mohammad Javad
Author_Institution :
Dept. of Math. Sci., Isfahan Univ. of Technol., Isfahan, Iran
Abstract :
For q an odd prime and 1 les m les q, we study two binary qm times q2 parity check matrices for binary array codes. For both parity check matrices, we determine the stopping distance and the minimum distance of the associated code for 2 les m les 3, and for (m, q)=(4, 5). In the case (m, q)=(4, 7), the stopping distance and the related minimum distance are also determined for one of the given parity check matrices. Moreover, we give a lower bound on the stopping distances for m > 3 and q > 3.
Keywords :
parity check codes; array code; low density parity check codes; stopping distance; Binary codes; Hamming distance; Iterative algorithms; Iterative decoding; Java; Lattices; Maximum likelihood decoding; Parity check codes; Shift registers; Stopping distance; array code; low-density parity-check (LDPC) code;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2023736