Problem 1. Suppose Alice wants to set up an EC EIGamal Public Key Cryptosystem. She uses the public

Problem 1. Suppose Alice wants to set up an EC EIGamal Public Key Cryptosystem. She uses the public elliptic curve E:Y2 = x +

Problem 1. Suppose Alice wants to set up an EC EIGamal Public Key Cryptosystem. She uses the public elliptic curve E:Y2 = x + 13X +37 over F7331 with point P = (101, 6124). She (Alice) selects a secret key of na = 123 and computes and publishes the public key QA=nAP. Suppose Bob wants to send the the message M = (313, 2634) to Alice using the one time (emhemeral) key k = 137. a. Compute the Public Key QA = NAP. b. What points C and C2 does Alice receive? c. Show that Alice is able to record the message sent by Bob (I.e., show it worked!)

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