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A pseudorandom binary sequence of n bits that (a) is the output of a linear shift register and (b) has the property that, if the shift register is set to any nonzero state and then cycled, a pseudorandom binary sequence of a maximum of n = 2m -1 bits will be generated, where m is the number of stages, i.e. , the number of bit positions in the register, before the shift register returns to its original state and the n-bit output sequence repeats. Note: The register may be used to control the sequence of frequencies for a frequency-hopping spread spectrum transmission system.