Question: Alice picks the two prime numbers p = 3 1 , q = 4 7 as her secret numbers for an RSA cipher, and publishes

Alice picks the two prime numbers p =31, q =47 as her secret numbers for an RSA cipher, and publishes the public key N, e with e =11.a. What is N?b. Bob wishes to send an enciphered kiss to Alice, so decides to transmit the ASCII code for X (88 in decimalnotation) using Alices public key cipher. Let C denote the enciphered message.Using the fact that 8811=888\times 882\times 88 compute C.c. On receiving Bobs message Alice computes the private key d in order to decipher it. The number f is defined bythelinearcongruence11f 1mod(p1)\times (q1).Computep1,q1andsolvethecongruencetofind f.

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