Combinatorial design-based quasi-cyclic LDPC codes with girth eight

• 作 者: Sina Vafi Narges Rezvani Majid
• 机 构: College of Engineering, Information Technology and Environment, Charles Darwin University, Ellengowa
• 出 处: 数字通信与网络（英文）
• 发表日期: 2018年4期
• 关键词: Quasi-cyclic LDPC codes Combinatorial design Minimum weight Girth

This paper presents a novel regular Quasi-Cyclic (QC) Low Density Parity Check (LDPC) codes with columnweight three and girth at least eight.These are designed on the basis of combinatorial design in which subsets applied for the construction of circulant matrices are determined by a particular subset.Considering the non-existence of cycles four and six in the structure of the parity check mat-ix,a bound for their minimum weight is proposed.The simulations conducted confirm that without applying a masking technique,the newly implemented codes have a performance similar to or better than other well-known codes.This is evident in the waterfall region,while their error floor at very low Bit Error Rate (BER) is expected.