Auto-correlation properties of modified de Bruijn sequences

Order n de Bruijn sequences are the period 2n binary sequences produced by an n stage feedback shift register. The number of de Bruijn sequence or modified Bruijn sequences for orders n≥7 are too difficult to examine individually and enumerate completely using readily available computational resources. For orders 4<n<6, the data indicates that there exist sets of nonlinear modified de Bruijn sequences that have favorable auto-correlation properties. The next step is to determine if there exists some subset of three signals with favorable auto-correlation properties that also have favorable cross-correlation properties.