Memory Efficient Decoders using Spatially Coupled Quasi-Cyclic LDPC Codes

An Alternative FPGA Implementation of Decoders for Quasi-Cyclic LDPC Codes

Due to their Shannon-limit-approaching performance and low-complexity decoding, low-density parity-check (LDPC) codes have been used for forward error correction in a broad-range of communication and storage systems. In addition to its low-complexity, the iterative decoding algorithm used for decoding LDPC codes is inherently parallel. To exploit the parallelism at a larger extent, a significan...

Encoding Schemes for Memory Efficient Quasi Cyclic Low Density Parity Check Codes

Low Density Parity Check (LDPC) codes have attracted current researchers due to their excellent performance and capability of parallel decoding. One major criticism concerning LDPC codes has been their apparent high encoding complexity and memory inefficient nature due to large parity check matrix. This led the researchers to move into a memory efficient LDPC called Quasi-Cyclic (QC)-LDPC which...

On the Grobner Basis of a Family of Quasi-Cyclic LDPC Codes

A Memory Efficient FPGA Implementation of Quasi-Cyclic LDPC Decoder

Low-Density Parity-Check (LDPC) code is one kind of prominent error correcting codes (ECC) being considered in next generation industry standards. The decoder implementation complexity has been the bottleneck of its application. This paper presents an implementation of Quasi-Cyclic Low-Density Parity-Check decoder by using FPGA. Modified Min-Sum decoding algorithm is applied to reduce the memor...

Improving the Rao-Nam secret key cryptosystem using regular EDF-QC-LDPC codes

This paper proposes an efficient joint secret key encryption-channel coding cryptosystem, based on regular Extended Difference Family Quasi-Cyclic Low-Density Parity-Check codes. The key length of the proposed cryptosystem decreases up to 85 percent using a new efficient compression algorithm. Cryptanalytic methods show that the improved cryptosystem has a significant security advantage over Ra...