The next result shows that a reducible permutation matrix can be expressed in terms of irreducible permutation matrices. Theorem 2.Every reducible permutation matrix is permutation similar to a direct sum of irreducible permutation matrices. Another notable permutation matrix is thevec-permutation matrix,...
In this paper, we propose the variation Banyan network (VBN) based permutation network architecture for the reconfigurable QC-LDPC decoders and give the control signal generating algorithm for cyclic shift. Through introducing the bypass network, we put forward the nonblocking scheme for any input ...
Split file into matrix with order n×m where ‘n’ denotes number of blocks and ‘m’ denotes number of sectors and each element of matrix is denoted as fij where 1≤i≤n and 1≤j≤m. Now pick ‘k’ random numbers (r1, r2…rk) from G. Select any random file name “NAME” ...
The state.Gimliapplies a sequence of rounds to a 384-bit state. The state is represented as a parallelepiped with dimensions\(3 \times 4 \times 32\)(see Fig.1) or, equivalently, as a\(3 \times 4\)matrix of 32-bit words. We name the following sets of bits: a columnjis a sequen...
A diagonal permutation shift (DPS) code can be constructed using both prime codes and some matrix operations. In addition, it can be easily implemented as it exists for prime numbers P, which limits the addressing probability of codes to P2. Fiber Bragg gratings (FBGs) are used for code ...
where LL is the name of the function, L[i,j] represents taking out the elements of the i-th row and j-th column of matrix L. We take an example of a lookup table based on the four-order Latin square L0 to illustrate the operation specifically, as shown in Figure 9a, where the ...