Crosscorrelation Properties of Binary Sequences with Ideal Two-Level Autocorrelation

摘要

For odd n, binary sequences of period 2~n - 1 with ideal two-level autocorrelation are investigated with respect to 3- or 5-valued cross-correlation property between them. At most 5-valued Crosscorrelation of m-sequences is first discussed, which is linked to Crosscorrelation of some other binary two-level autocorrelation sequences. Then, several theorems and conjectures are established for describing 3- or 5-valued Crosscorrelation of a pair of binary two-level autocorrelation sequences.