Hello, this is my first post to the list.

I am trying to use B/M algo included in Sage. Now,

berlekamp_massey([GF(2)(0),0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0])

evals to f(x)=x^5 + x^3 + x^2 + x + 1 which is the minimal poly.
Also, I know that  when I take the reciprocal (x^5*f(1/x)), I find
g(x)=x^5+x^4+x^3+x^2+1 which is the connection poly. of this LFSR.

My question is how can I regenerate this sequence using this connection poly.?
Providing initial states 0,0,1,0,1 yields to another sequence:

(0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0)

I've tried several different approaches but got no luck.

--
Thank you,
evrim.

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