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New quantum LDPC codes based on projective geometry. [PDF]
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BCK-codes Based on a Parity Check Matrix
Fundamenta Informaticae, 2020Hamming codes are of primary concern in information theory and its applications. Despite a number of researches that have been conducted on such codes and their characterizations, dealing with the properties of previously introduced codes in a BCK-algebraic framework has not been considered in earlier works.
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FPGA implementation of Parity Check Matrix based Low Density Parity Check Decoder
2018 2nd International Conference on Inventive Systems and Control (ICISC), 2018Low Density Parity Check (LDPC) error correction decoders have become popular in diverse communication systems, owing to their strong error correction performance and their suitability to parallel hardware implementation. Low Density Parity Check Decoder is a class of Forward Error Correction Codes.
H. Praveena, K. Kalyani
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Efficient architectures for parity check matrix generation
2015 23rd Telecommunications Forum Telfor (TELFOR), 2015New advanced decoding algorithms for error correction systems can improve the frame error rate over commonly used systems. However, they also pose new challenges for their hardware implementations. One part, which consumes a considerable amount of hardware resources, is the storage of the parity check matrix.
Stefan Scholl, Norbert When
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Tiling parity-check matrix for reduced complexity high throughput low-density parity-check decoders
IEEE Workshop on Signal Processing Systems Design and Implementation, 2005., 2006An approach for reducing hardware complexity of LDPC decoders is presented in this paper. Low-density parity-check (LDPC) codes have a sparse parity-check matrix (H matrix). In LDPC decoder, the H matrix is stored in memory and contains information about the parity check constraints. The approach presented in this paper constructs several sub-matrices (
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Design of Rate-Compatible Low-Density Parity-Check Codes with Constant Check Matrix
2020 International Conference Engineering and Telecommunication (En&T), 2020In this paper, we propose a “bit duplication” design method for rate-compatible low-density parity-check codes (LDPC). The main idea of the method is to change the structure of codewords during its transmission over the communication system. This method can be effectively applied to create a set of codes, allowing to obtain lower-rate codes from the ...
Son Le, Evgeny Likhobabin
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