On the Ideal Arithmetic Autocorrelation of Binary FCSR Sequences
Vladimir Edemskiy · Problems of Information Transmission · 2025
We study the arithmetic autocorrelation of binary sequences generated by a feedback with carry shift register. We find necessary and sufficient conditions for the existence of families of such sequences with ideal arithmetic autocorrelation for arbitrary connection integer $q$ . Under these conditions, any pair of cyclically different sequences with connection integer $q$ also has ideal arithmetic crosscorrelation.