Quasi cyslic-low density parity check（ QC-LDPC） codes has good performance

simple description and implementation

and is widely used in 5 G e MBB scenario.In check matrix structure of QC-LDPC codes

the determination of the information bit is usually constructed by the sequence.Common sequences include arithmetic sequence

Fibonacci sequence and Lucas sequence

but these sequences lack flexibility in selecting the code rate and have high coding complexity.Jacobsthal sequence has been used in the counting of combined sequences.The paper applied the combinatorial property of the Jacobsthal sequence to the construction of the basis matrix

and the construction method of the double-diagonal basis matrix was adopted to obtain the multi-bit rate QC-LDPC codes with better performance.The simulation results show that the method improves the performance of the QC-LDPC codes and realizes fast coding.