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Article: Report summarizes lightwave technology study findings from University of Arizona.(Report)
- Article from:
- Journal of Technology
- Article date:
- November 10, 2009
CopyrightCOPYRIGHT 2009 NewsRX. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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"The parity-check matrix of a nonbinary (NB) low-density parity-check (LDPC) code over Galois field GF(q) is constructed by assigning nonzero elements from GF(q) to the 1s in corresponding binary LDPC code. In this paper, we state and prove a theorem that establishes a necessary and sufficient condition that an NB matrix over GF(q) constructed by assigning nonzero elements from GF(q) to the 1s in the parity-check matrix of a binary quasi-cyclic (QC) LDPC code, must satisfy in order for its null-space to define a nonbinary QC-LDPC (NB-QC-LDPC) code," investigators in the United States report.
"We also provide a general scheme for constructing NB-QC-LDPC codes ...