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- W4301116768 abstract "This paper generalizes the method proposed by Poulliat et al. for the determination of the optimal Galois Field coefficients of a Non-Binary LDPC parity check constraint based on the binary image of the code. Optimal, or almost-optimal, parity check coefficients are given for check degree varying from 4 to 20 and Galois Field varying from GF(64) up to GF(1024). For all given sets of coefficients, no codeword of Hamming weight two exists. A reduced complexity algorithm to compute the binary Hamming weight 3 of a parity check is proposed. When the number of sets of coefficients is too high for an exhaustive search and evaluation, a local greedy search is performed. Explicit tables of coefficients are given. The proposed sets of coefficients can effectively replace the random selection of coefficients often used in NB-LDPC construction." @default.
- W4301116768 created "2022-10-04" @default.
- W4301116768 creator A5054060190 @default.
- W4301116768 date "2017-08-05" @default.
- W4301116768 modified "2023-10-03" @default.
- W4301116768 title "Optimization of Non Binary Parity Check Coefficients" @default.
- W4301116768 doi "https://doi.org/10.48550/arxiv.1708.01761" @default.
- W4301116768 hasPublicationYear "2017" @default.
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