Shift-Register sequences are not orthogonal, but they do have a narrow autocorrelation peak. If the shift-register size is n then the length of the code is equal to . The figure shows that applying an M-sequence better distributes the power over the whole available frequency range. There do not exist preferred pairs for shift-registers with a length equal to 4k where k is an integer. By giving one of the codes a delay with respect to the other code, we can get different sequences.
Offsets are relative to the all-ones state.
For the large set of Kasami-codes this number is equal to . Choosing n equal to for instance 6 leaves us 520 possible codes.