subject

This problem performs elliptic curve encryption/decryption using the scheme out-
lined in section 10.4. the cryptosystem parameters are e11(1,6) and g = (2,7). b's
secret key is nb = 3. (hint: note the relationship of this system to the one discussed in
the previous question (10.14)]

a. find b's public key pb.
b. a wishes to encrypt the message pm = (10,9) and chooses the random value
k = 4. determine the ciphertext cm.

c. show the calculation by which Π² recovers pm from cm.

(10.> for e11(1,6) consider the point g=(2,7). compute the multiple of g from 2g through 13g.)

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