Periodic binary sequences with the "trinomial property"

Periodic binary sequences with the "trinomial property" are considered. Some necessary and sufficient conditions for "trinomial pairs" of a nonlinear sequence of period 2/sup n/-1 as well as classifications for trinomial pairs are derived. Complete searches for trinomial pairs of sequences have been completed for 3/spl les/n/spl les/17. We list them here for n/spl les/12.