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(a) Using the extended Euclidean algorithm, find the multiplicative inverse of 504 mod 67.
(b) Decrypt the following ciphertext, which has been encrypted using Caesar cipher:
YMNXJ CFRNS FYNTS UFUJW NXVZN YJJFX D
(c) (i) Construct the Playfair matrix (5x5) using the keyword: cryptology
(ii) Encrypt the following plain text using the above matrix: billa bong
#questioAn elliptic curve y^2=x^3+ax+b(mod29) includes points P=(7, 15) and Q=(16, 13) a)Determine the equation of the crve b) Determine all values of x for which there is no point
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