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

Digital Communications and Networks 2018年第4期4卷 296-300页

作者： Sina Vail narges rezvani majid College of Ertgineering Information Technology and Environment Charles Din-win UmversityEllengowan DriveNT0909Australia

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 nonexistence of cycles four and six in the structure of the parity check matrix,a bound for their minimum weight is proposed.The simtdations 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.

关键词： Quasi-cyclic LDPC codes Combinatorial design Minimum weight Girth

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Half Rate Quasi Cyclic Low Density Parity Check Codes Based on Combinatorial Designs

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Journal of Computer and Communications 2016年第12期4卷 39-49页

作者： Sina Vafi narges rezvani majid School of Engineering and Information Technology Charles Darwin University Darwin Australia

This paper presents new half rate Quasi Cyclic Low Density Parity Check (QC- LDPC) codes formed on the basis of combinatorial designs. In these codes, circulant matrices of the parity check matrix are formed on the basis of subsets in which the difference between any two elements of a subset is unique with all differences obtained from the same or different subsets. This structure of circulant matrices guarantees non-existence of cycle-4 in the Tanner graph of QC-LDPC codes. First, an irregular code with girth 6 constituted by two rows of circulant matrices is proposed. Then, more criteria will be considered on the structure of subsets with the mentioned feature aiming to represent a new scheme of regular QC-LPDC codes with girth at least 8. From simulations, it is confirmed that codes have similar to or better performance than other well-known half rate codes, while require lower complexity in their design.

关键词： Quasi-Cyclic LDPC Codes Combinatorial Designs Circulant Matrix

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