TY - JOUR
T1 - Block-circulant low-density parity-check codes for optical communication systems
AU - Milenkovic, Olgica
AU - Djordjevic, Ivan B.
AU - Vasic, Bane
N1 - Funding Information:
Manuscript received September 2, 2003; revised January 18, 2004. This work was supported by the National Science Foundation under Grant ITR 0325979. O. Milenkovic is with the Department of Electrical and Computer Engineering, University of Colorado, Boulder, CO 80303 USA (e-mail: [email protected]). I. B. Djordjevic is with the Department of Electrical and Computer Engineering, University of Arizona, Tucson, AZ 85719 USA and the Faculty of Computing, Engineering and Mathematical Sciences, University of the West of England, Bristol, U.K. (e-mail: [email protected]; [email protected]). B. Vasic is with the Department of Electrical and Computer Engineering, University of Arizona, Tucson, AZ 85719 USA (e-mail: [email protected]). Digital Object Identifier 10.1109/JSTQE.2004.827832
PY - 2004/3
Y1 - 2004/3
N2 - A novel family of structured low-density parity-check (LDPC) codes with block-circulant parity-check matrices that consist of permutation blocks is proposed. The codes from this family are based on new combinatorial objects termed cycle-invariant difference sets, and they have low storage requirements, fast encoding algorithms, and girth of at least six. Most importantly, they tend to outperform many other known structured LDPCs of comparable rate and length.
AB - A novel family of structured low-density parity-check (LDPC) codes with block-circulant parity-check matrices that consist of permutation blocks is proposed. The codes from this family are based on new combinatorial objects termed cycle-invariant difference sets, and they have low storage requirements, fast encoding algorithms, and girth of at least six. Most importantly, they tend to outperform many other known structured LDPCs of comparable rate and length.
KW - Cycle-invariant difference sets
KW - Forward error correction
KW - Low-density parity-check codes
KW - Optical communications
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U2 - 10.1109/JSTQE.2004.827832
DO - 10.1109/JSTQE.2004.827832
M3 - Article
AN - SCOPUS:2942726465
SN - 1077-260X
VL - 10
SP - 294
EP - 299
JO - IEEE Journal on Selected Topics in Quantum Electronics
JF - IEEE Journal on Selected Topics in Quantum Electronics
IS - 2
ER -