galois.GLFSR.initial_state

property galois.GLFSR.initial_state : FieldArray

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

Examples¶

In [1]: c = galois.primitive_poly(7, 4)

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

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

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

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

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