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An Architecture for Efficient encoding of Quasi cyclic LDPC codes and its implementation in FPGA

International Conference on Communication Systems and Network Technologies, 2022
The Quasi Cyclic LDPC codes are one of the most widely used channel coding technique as they offer low complexity encoding along with parallelism in decoding.
G. Sowmya   +5 more
semanticscholar   +1 more source

FPGA-Based Quasi-Cyclic LDPC Encoding Algorithm

Asia Communications and Photonics conference and Exhibition, 2022
In this paper, an algorithm for quasi-cyclic low-density parity-check code (QC-LDPC) encoding is proposed. The correctness of the algorithm is validated on the FPGA evaluation board. Experimental results show that the encoding delay can be reduced by 3.3
Zhu-Gao Ding   +5 more
semanticscholar   +1 more source

Construction of Self-Orthogonal Quasi-Cyclic Codes and Their Application to Quantum Error-Correcting Codes

arXiv.org
In this paper, necessary and sufficient conditions for the self-orthogonality of t-generator quasi-cyclic (QC) codes are presented under the Euclidean, Hermitian, and symplectic inner products, respectively. Particularly, by studying the structure of the
Mengying Gao   +3 more
semanticscholar   +1 more source

Quasi-cyclic and generalized quasi-cyclic codes and uniqueness of their generators

Discret. Math. Algorithms Appl., 2022
In this paper, we use a novel approach to describe generator polynomials of quasi-cyclic (QC) and generalized QC (GQC) codes over finite fields. Our study of QC- and GQC-codes will be general and not only restricted to one-generator codes.
T. Abualrub, P. Seneviratne
semanticscholar   +1 more source

Rate-Compatible Length-Scalable Quasi-Cyclic Spatially-Coupled LDPC Codes

IEEE transactions on broadcasting
The capability of QC-SC-LDPC codes to be employed in broadcasting systems has been studied in previous research. However, the implementation-oriented features such as rate-compatibility and length-scalability for QC-SC-LDPC codes have not been well ...
Zhitong He, Kewu Peng, Jian Song
semanticscholar   +1 more source

Entanglement-Assisted Quasi-Cyclic LDPC Codes

Information Theory Workshop
We provide code constructions along with code properties for a few families of entanglement-assisted (EA) Calderbank-Shor-Steane (CSS) codes derived from quasi-cyclic (QC) low-density parity check (LDPC) codes.
Pavan Kumar, A. Sharma, S. Garani
semanticscholar   +1 more source

Efficient Construction of Quasi-Cyclic LDPC Codes With Multiple Lifting Sizes

IEEE Communications Letters
In this letter, we present an efficient method for constructing a family of quasi-cyclic low-density parity-check (QC-LDPC) codes specified only by one single exponent matrix that can support multiple lifting sizes.
Huaan Li   +3 more
semanticscholar   +1 more source

Quasi-Cyclic Protograph-Based Raptor-Like LDPC Codes With Girth 6 and Shortest Length

International Symposium on Information Theory, 2021
We consider multiple-edge QC-LDPC codes with a base matrix of large size. We propose a new method, the degree reduction method, to obtain exponent matrices of these codes which considerably reduces the complexity of the search algorithm.
F. Amirzade   +2 more
semanticscholar   +1 more source

Construction of Quasi-Cyclic Low-Density Parity-Check Codes based on Quadratic Residue Codes

International Symposium on Medical Information and Communication Technology, 2021
Motivated by the success of constructing quasi-cyclic low-density parity-check (QC-LDPC) codes based on Reed-Solomon codes, a construction method for QC-LDPC codes is presented in this paper, using the check matrices of quadratic residues codes. Three QC-
Yong Li   +4 more
semanticscholar   +1 more source

Enhanced Layered Quasi-Cyclic Low-Density Parity-Check Codes for the McEliece Cryptosystem in Satellite Communications System

2024 International Conference on the Frontiers of Electronic, Electrical and Information Engineering (ICFEEIE)
Given the rapid advancement of quantum computing technology, the McEliece cryptosystem, rooted in coding theory, stands out as one of the few cryptographic systems resilient against quantum attacks.
Junda Zhang   +4 more
semanticscholar   +1 more source

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