Error Control Coding, Second Edition
Error Control Coding, Second Edition
IEEE Transactions on Communications
High performance non-binary quasi-cyclic LDPC codes on euclidean geometries
IEEE Transactions on Communications
Construction of non-binary quasi-cyclic LDPC codes by arrays and array dispersions
IEEE Transactions on Communications
Good error-correcting codes based on very sparse matrices
IEEE Transactions on Information Theory
The capacity of low-density parity-check codes under message-passing decoding
IEEE Transactions on Information Theory
Low-density parity-check codes based on finite geometries: a rediscovery and new results
IEEE Transactions on Information Theory
Algebraic soft-decision decoding of Reed-Solomon codes
IEEE Transactions on Information Theory
Design and analysis of nonbinary LDPC codes for arbitrary discrete-memoryless channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Iterative algebraic soft-decision list decoding of Reed-Solomon codes
IEEE Journal on Selected Areas in Communications
Low-complexity reliability-based message-passing decoder architectures for non-binary LDPC codes
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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This paper presents two low-complexity reliability-based message-passing algorithms for decoding LDPC codes over non-binary finite fields. These two decoding algorithms require only finite field and integer operations and they provide effective trade-off between error performance and decoding complexity compared to the non-binary sum product algorithm. They are particularly effective for decoding LDPC codes constructed based on finite geometries and finite fields.