Designing and encoding QC-LDPC codes using matrices over commutative rings
Ishai Ilani · 2016
This paper uses tools from matrix algebra over commutative rings to simplify the design of parity-check (PC) matrices for Quasi-cyclic (QC) low-density parity-check (LDPC) codes. These tools are also used for computing the ranks of PC matrices and developing low complexity encoding methods for QC-LDPC codes. The motivation for this work stems from the need to develop regular QC-LDPC codes with extremely low error floor, and high throughput in both encoding and decoding for use in flash memory devices.