Abstract
Secure and reliable information flow is one of the main challenges in social IoT and mobile networks. Information flow and data integrity is still an open research problem. In this paper, we develop new methods of constructing systematic and regular Low-Density Parity-Check Matrices (LDPCM), inspired by the structure of the Sarrus method and geometric designs. Furthermore, these codes have cyclic structure and therefore, are less complex in computation and also require less memory in hardware implementation. Besides, an optimal method of post-processing for deleting girths four is presented. Numerical results show that the codes constructed by these methods perform well over the additive white Gaussian noise (AWGN) channel when decoded with the sum-product LDPC iterative algorithms. The proposed methods can be very efficient in terms of reducing memory consumption and improving the convergence speed of the decoder particularly in IoT and mobile networks.
Highlights
In the recent decade, we have seen significant growth in the use of smart devices in different applications such as Internet of Things (IoT) [1]
During the standardization process of 5G [23], several coding schemes based on the aforementioned requirements are considered and Low-Density Parity-Check (LDPC) coding has been adopted for user data focusing on low latency in 5G
In decoding an LDPC code with the Sum-Product Algorithm (SPA), the bit error (BER) performance depends on cycles of short lengths [6,28,31] in the Tanner graph
Summary
We have seen significant growth in the use of smart devices in different applications such as IoT [1]. To make sure the data reliability and integrity in the presence of noise, error correction codes can be used. Sensors 2020, 20, 2300 gained attention recently and substantial research work has been done in designing the parity check matrices, low complexity encoding and decoding algorithms and numerous practical applications [7,8,9,10,11,12]. Methods of algebraic construction are used to construct cyclic or quasi-cyclic LDPC codes with combination methods. This structured LDPC codes [16,17,18], in general, are simple to encode and decode as compared with the random codes. LDPC codes have been adopted by digital video broadcasting and IEEE standards like DVB-S2, DVB-X2, WiFI and WiMax [19,20]
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