Method and apparatus for transmission and reception with polar codes are provided to support up to 16 permutations or transformation mappings. For example, 16 versions of copies able to be soft-combined for PBCH or any other data channel or control channel are suggested if the mother code length is 256 or 512 or 1024. With the new design, up to 16 different versions can be used to soft combined to improve the performance. Some sequences are provided as examples to support 16 different permutation patterns. The inverse of these sequences also have the feature to support 16 different permutation patterns.