Methods and apparatus for remapping and regrouping transmission resources in a wireless communication system. First, a set of new permutation algorithms based on Galois field operation is proposed. Then the proposed algorithms and the known Pruned Bit Reversal Ordering (PBRO) algorithm are applied to several of various resource mapping schemes, including slot or symbol level Orthogonal Cover (OC)/Cyclic Shift (CS) mapping, cell-specific slot-level and symbol-level CS hopping patterns, and subframe and slot level base sequence hopping patterns.