The LFSR is used in chip hardware for high-speed operations, error control, and the generation of pseudo-random numbers.
There are simple shift register-based n-bit counters with a few XOR gates that behave pseudo-randomly. Linear feedback shift register (LFSR) is the basic building block of the communication system used in different coding, error detection and correction codes, such as gold, low-density parity check (LDPC), polar, and turbo codes.