Abstract: An apparatus for multiple polynomial-based random number generation includes an LUT device having a plurality of polynomials established therein, a signal selection unit coupled to the LUT device and operable so as to generate a select signal that is inputted to the LUT device to thereby select at least one of the polynomials established in the LUT device, and an LFSR device coupled to the LUT device and operable so as to perform LFSR operations based on the at least one of the polynomials selected from the LUT device. A method for multiple polynomial-based random number generation includes: a) establishing the polynomials in the LUT device, b) generating the select signal to select at least one of the polynomials, and c) enabling the LFSR device to perform the corresponding LFSR operations.