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Design of Nonbinary LDPC Cycle Codes with Large Girth from Circulants and Finite Fields
Wireless Communications and Mobile Computing, Volume 2021, Issue 1, 2021., 2021 In this paper, we study a class of nonbinary LDPC (NBLDPC) codes whose parity‐check matrices have column weight 2, called NBLDPC cycle codes. We propose a design framework of (2, ρ)‐regular binary quasi‐cyclic (QC) LDPC codes and then construct NBLDPC cycle codes of large girth based on circulants and finite fields by randomly choosing the nonzero ...
Hengzhou Xu +6 more
wiley +1 more source
A High Throughput Implementation of QC-LDPC Codes for 5G NR
IEEE Access, 2019 Quasi-cyclic low-density parity-check (QC-LDPC) codes are the choice for data channels in the fifth generation (5G) new radio (NR). At the transmitter side, code bits from the QC-LDPC encoder are delivered to the rate matcher.
Hao Wu, Huayong Wang
doaj +1 more source
Hardware Sharing for Channel Interleavers in 5G NR Standard
Security and Communication Networks, Volume 2021, Issue 1, 2021., 2021 Interleaver module is an important part of modern mobile communication system. It plays an important role in reducing bit error rate and improving transmission efficiency over fading channels. In 5G NR (5th Generation New Radio) standards, LDPC (low‐density parity‐check) and polar channel codes are employed for data channels and control channels ...
Xiaokang Xiong +7 more
wiley +1 more source
Analysis of Quasi-Cyclic LDPC codes under ML decoding over the erasure channel [PDF]
, 2010 In this paper, we show that Quasi-Cyclic LDPC codes can efficiently accommodate the hybrid iterative/ML decoding over the binary erasure channel. We demonstrate that the quasi-cyclic structure of the parity-check matrix can be advantageously used in ...
Cunche, Mathieu +2 more
core +3 more sources
Discrete Dynamics in Nature and Society, 2015 This paper presents four different integer sequences to construct quasi-cyclic low-density parity-check (QC-LDPC) codes with mathematical theory. The paper introduces the procedure of the coding principle and coding.
Yan Zhang, Feng-fan Yang, Weijun Song
doaj +1 more source
Algebra-Assisted Construction of Quasi-Cyclic LDPC Codes for 5G New Radio
IEEE Access, 2018 Quasi-cyclic LDPC (QC-LDPC) codes have been accepted as the standard codes of 5G enhanced mobile broadband data channel. These standard codes are designed to support multiple lifting sizes and possess rate-compatible property, which can help adapt ...
Huaan Li +4 more
doaj +1 more source
ETRI Journal, 2023 This paper proposed a novel method for constructing quasi-cyclic low-density parity-check (QC-LDPC) codes of medium to high code rates that can be applied in cloud data storage systems, requiring better error correction capabilities.
Vairaperumal Bhuvaneshwari +1 more
doaj +1 more source
Construction of Quasi-Cyclic Low Density Parity Check Codes for Magnetic Induction Communication
IEEE Access, 2019 The magnetic induction (MI) communication has been proved to be an effective method in the wireless underground sensor networks (WUSN). MI communication system based on quasi-cyclic low density parity check (QC-LDPC) codes is expected to improve the ...
Hua Xu, Yanjing Sun, Wenjuan Shi
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On the Girth of Tanner (3, 13) Quasi-Cyclic LDPC Codes
IEEE Access, 2019 Girth is an important structural property of low-density parity-check (LDPC) codes. Motivated by the works on the girth of Tanner (3, 5), (3, 7), (3, 11), and (5, 7) quasi-cyclic (QC) LDPC codes, we, in this paper, study the girth of Tanner (3, 13) QC ...
Hengzhou Xu +4 more
doaj +1 more source
IEEE Access, 2021 Multitype quasi-cyclic (QC) low-density parity-check (LDPC) codes are a class of protograph LDPC codes lifted cyclically from protographs with multiple edges, represented by two weight and slope matrices.
Farzaneh Abedi, Mohammad Gholami
doaj +1 more source