… ParityCheck (LDPC) codes. They are derived from Multiple Serially Concatenated Single
Parity-Check … A length-4 cycle exists between any two rows of its paritycheck matrix if they have …

… In the model matrix, the shifted number is shown in the location of a permutation matrix
and a negative number or blank is used in a zero matrix location. …

… check matrix can be very crucial to code performance. In this paper, we have investigated
a simple designed parity check matrix … variables to define the permutation matrix. A method …

… in this paper to rearrange the parity check matrix of the code … codes with high density parity
check matrix. Simulation results … Each permuted row causes the adaptation of the parity check …

… m x m matrices that may he made upper triangular using only row and column permutations.
Consider a binary erasure channel with the mapping M of the output: M(0) = +1, M(1) = -1, M…

… t × t permutation matrices, t > 1, we define an ensemble of irregular low-density parity-check
codes of … H4, then the minimum distance of the code with paritycheck matrix H is at least 6. …

… By defining a local Hamiltonian that has the parity checks as energy-penalty terms, we obtain
a … on the bits and checks via permutation such that the incidence relation between bits and …

… Each coded bit is represented by a variable node, whereas each parity check equation
represents a check node. The variable node connection degree is the number of check equations …

… -check matrix (PCM) H, in which each column has weight J and each row has weight L. If H is
an array of circulant permutation matrices (CPMs) or zero matrices … of two matrices (CPM or …

… This requires new circuits to correctly process sign bits among multiple blocks and is
especially beneficial for regular permutation-based high row-weight (W r ≥ 16) decoders. A Multi-…