# Increasing error safety in the cross correlation of two binary signals in wireless communication

I want to cross correlate two binary signals, where one is corrupted by noise and shifted by a time constant $$\tau$$, but has the same bit pattern (so basically an auto correlation). Similar to case 2 in this allaboutcircuits "understanding correlation" article.

• How long does my bit pattern has to be, so that I increase error safety?
• Does the lenght of a single bit affect the error safety?
• Can there any general assumptions be made or does this depend totally on my transmission system?