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4(a). Let M=C=K={0,1,2,,25}. Consider the following cipher: f(m,k)=m+k(mod26),g(c,k)=ck(mod26) The key is generated uniformly at random from K. Does this cipher have perfect secrecy? (b). Assuming

4(a). Let M=C=K={0,1,2,,25}. Consider the following cipher:

f(m,k)=m+k(mod26),g(c,k)=ck(mod26)

The key is generated uniformly at random from K. Does this cipher have perfect secrecy?

(b). Assuming that there are 220 users in the crypto system, and they use OTP to achieve perfectly secure communication with each other. How many secret keys does the system need to manage?

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