Explain that neither one round nor two rounds of the Fiestel cipher (consider DES) is a pseudorandom

Explain that neither one round nor two rounds of the Fiestel cipher (consider DES) is a pseudorandom generator. (e) Design a finite state machine with n states (called as cells), st. each i th cell in the t th time instance propagates according to the following rules: s t i = s t-1 i ? s t-1 i ? s t-1 i (for odd cells) s t i = s t-1 i ? s t-1 i (for even cells) The boundary cells are null, ie. s-1 = sn = 0. Consider an n-stage machine and the sequence generated by the zeroth cell, ie. s = s t 0 , where t denotes the time instance. Examine the sequence generated and test it for pseudorandomness by performing the 5 basic statistical tests.