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Jeju province has a long history in the residential communication field. The Jong Nang is such an example of a binary code, dated back over three quarters of a millennium. The Jeju Jong Nang code is considered as one of the earliest user binary coded communication (UBCC) in the world with a definite “1” or “0” binary symbolic analysis of switching circuits. The Jong Nang used the binary system (000,...
Polar code was proposed by Erdal Arikan as an incentive idea splitting input channels to increase its transition performance. The proposed code that is related to the recursive construction of Reed-Muller codes on the basis of 2-order square matrix G2, can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels. It has already been mentioned that in principle larger matrices...
In this paper, a simple cooperative diversity scheme in M + 2 relay network with low-density parity-check (LDPC) codes is proposed. By allocating random interleavers to each relay node, the interleaved sequences provide M copies of received vector to achieve the cooperative diversity. An efficiently iterative coding algorithm is proposed with low complexity. The complexity involved grows linearly...
This paper first presents an approach to the construction of non-binary low-density parity-check (LDPC) codes based on Euclidean geometries. Codes constructed by this method have multiple code rates and a constant code length. With the proposed codes, the MIMO systems can also support different data rate with the same basic structure. Simulation results show that these codes perform very well with...
This letter presents an approach to the construction of non-binary low-density parity-check (LDPC) codes based on alpha-multiplied circulant permutation matrices and hyperplanes of two different dimensions in Euclidean geometries. Codes constructed by this method have large girth and high binary column weight when the order of Galois field is high. Simulation results show that these codes perform...
A simple extension of the Welch inner product theorem is investigated. Several functions to find the largest possible minimum Hamming distance of binary block codes are also derived. The results will be useful to estimate or design good codes for communications system or other networking schemes.
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