CRC Generation Using a Linear Feedback Shift Register (LFSR) g1. When all input bits have been processed, the shift register contains the CRC bits, which are then shifted out on the data line. In this case there are faster ways of solving such a system, such as the Berlekamp Massey algorithm, which recursively finds the solution with the smallest $L$, given the keystream $Z_t.$ See the answer to the question berlekamp massey to construct minimal lfsr? for more details. At every clock pulse, the input data is shifted into the register in addition to transmitting the data. You will need $2L$ keystream symbols to obtain the coefficients uniquely. Given any LFSR equation $$Z_\\Īnd solve it by using linear algebra, since the right hand vector and the matrix entries are obtained from the observed keystream sequence $(Z_t)$.
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