N-valued with n.gtoreq.2 scramblers, descramblers, sequence generators and sequence detectors operate with Linear Feedback Shift Registers (LFSRs) in Galois configuration. Detectors and descramblers in Fibonacci configuration relate to generators and scramblers with LFSRs in Galois configuration. The content of a shift register in a sequence detector in Galois configuration is calculated. Binary and n-valued scramblers in Galois configuration are matched with corresponding self-synchronizing descramblers with Linear Forward Connected Shift Registers. Systems, including communication systems apply scramblers and descramblers, sequence generators and sequence detectors in Galois configuration.