As a specific example, the FD index [0, 1, 2, 3, 4, 5, 6, 7] in the case of M=8 may be alternately (intersectingly) selected based on the FD index=0 according to the above method. For example, the index may be remapped, i.e., permutated, such as [0,7,1,6,2,5,3,4], so the priority value may be determined. The LC coefficients corresponding to the FD index of [0,7,1,6] may be included in the group (e.g., G1) with high priority, and the LC coefficients corresponding to [2,5,3,4] may be included in the group (e.g., G2) with low priority.
Alternatively, as an example, the index may be remapped as [0,1,7,2,6,3,5,4], and if it is expressed in a matrix form (Ax=b), may be expressed as a matrix of the following Equation 4. Here, A denotes Perm1( ), x denotes an FD index, and b denotes a permutation applied FD index.