Constant weight parity-check matricesstopping setstopping distancestopping redundancyoptimal redundancyThe binary linear code H_(m,q), m > q ≥ 2, of length (_q~m )presented by a parity-check matrix H_m~q, whose columns are all distinct strings of length m and Hamming weight q ≥ 2 is...
The extra bits are known as parity-check bits. For each code, a parity-check matrix, H, is defined; in order to be a valid one, for each code word, x, it must satisfy the parity-check constraint (modulo-2 operations), Hx=0. Take as an example the case of k=3 and N=6. The...
1. A method comprising: encoding, by a processor of a first device, one or more blocks of information bits of a first source bit stream based on a predetermined structured parity check matrix of an LDPC code to generate a first LDPC encoded bit stream, wherein the parity check matrix is...
wherein the parity check code comprises a parity check matrix which, in expanded form, can be represented by the matrix H having the general structure Formula (I) wherein A, B, T, Q D and E represent sub-matrices, ET-1B being equal to the null matrix, the generating means comprising...
An [n, k] linear code C that is subject to locality constraints imposed by a parity check matrix H0 is said to be a maximally recoverable (MR) code if it c... SB Balaji,PV Kumar 被引量: 0发表: 0年 Possible Consequences of Parity Conservation It has been shown that parity may be ...
wherein the parity check code comprises a parity check matrix which, in expanded form, can be represented by the matrix H having the general structure Formula (I) wherein A, B, T, Q D and E represent sub-matrices, ET-1B being equal to the null matrix, the generating means comprising...
and transmitting means for transmitting the encoded data and the error correction codeword, wherein the parity check code comprises a parity check matrix which, in expanded form, can be represented by the matrix H having the general structure Formula (I) wherein A, B, T, Q D and E repres...
The second parity check matrix is generated by performing at least one of row permutation and column permutation with respect to the first parity check matrix. An eth parity check polynomial that satisfies zero, of the LDPC convolutional code, is expressible by using a predetermined mathematical ...
Formula, i> = 0, 1, ..., kb-1; * Determining v (0) by v (0)> = where x denotes the row index of hbm where the entry is the only non-negative value a imparde number times within hbm and hbm used is kb -th column the model matrix Hbm, where an array of deparidad the ...
and transmitting means for transmitting the encoded data and the error correction codeword, wherein the parity check code comprises a parity check matrix which, in expanded form, can be represented by the matrix H having the general structure Formula (I) wherein A, B, T, Q D and E repres...