Programmable linear-feedback shift register systems and methods

Various techniques are provided to implement programmable linear-feedback shift register (LFSR) circuits. In one example, the LFSR circuit includes state storage elements. Each state storage element is configured to store a state signal. The LFSR circuit further includes programmable logic stage circuits each configured to selectively receive an input signal and a set of state signals, determine an output signal based at least on the set of state signals, and provide the output signal. Each programmable logic stage circuit is connected to at least one other programmable logic stage circuit. The LFSR circuit further includes pipeline elements. Each pipeline element is configured to selectively connect at least two programmable logic stage circuits. The LFSR circuit further includes sets of latency balance elements. Related systems and methods are provided.