Question: Linear feedback shift register ( LFSR ) . Consider an LFSR defined by a recurrence mod 2 as xi c 1 xi 1 + .

Linear feedback shift register (LFSR). Consider an LFSR defined by a recurrence mod
2 as
xi c1xi1+...+ cmxim (mod 2).
Show that is the number of non-zero cis is odd, then this recurrence cannot generate
a sequence of maximal length.

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