galois.FLFSR.initial_state

property galois.FLFSR.initial_state : FieldArray

The initial state vector \(S = [S_0, S_1, \dots, S_{n-2}, S_{n-1}]\).

Examples¶

In [1]: feedback_poly = galois.primitive_poly(7, 4).reverse(); feedback_poly
Out[1]: Poly(5x^4 + 3x^3 + x^2 + 1, GF(7))

In [2]: lfsr = galois.FLFSR(feedback_poly, state=[1, 2, 3, 4]); lfsr
Out[2]: <Fibonacci LFSR: f(x) = 1 + x^2 + 3x^3 + 5x^4 over GF(7)>

In [3]: lfsr.initial_state
Out[3]: GF([1, 2, 3, 4], order=7)

The initial state is unaffected as the Fibonacci LFSR is stepped.

In [4]: lfsr.step(10)
Out[4]: GF([4, 3, 2, 1, 4, 6, 4, 5, 0, 2], order=7)

In [5]: lfsr.initial_state
Out[5]: GF([1, 2, 3, 4], order=7)