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Let a LFSR be built with characteristic polynomial f ( x ) = x ^ 4 + x ^ 3 + x ^ 2 +

Let a LFSR be built with characteristic polynomial f

(

) =

^4 +

^3 +

^2 +

+ 1 .

Draw a diagram of the LFSR

.

Show the transition diagram for the LFSR

.

What is the maximal period of its output sequences?

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