Cryptography207910 marksNumerical: ElGamal encryptionElgamal Cryptographic System
Show that Z 5 is a field. John publishes the ElGamal public key (q, α, YA) =(101, 2, 14). Jane desired to send the secret message CSIT to John. Using the equivalence A = 0, B=1, ..., Z=25, encrypt the message using John’s public key. Use a random number k = 4.
Show that Z 5 is a field. John publishes the ElGamal public key (q, α, YA) =(101, 2, 14). Jane desired to send the secret message CSIT to John. Using the equivalence A = 0, B=1, ..., Z=25, encrypt the message using John’s public key. Use a random number k = 4.[10]
--- Field problem: - Set: $\mathbb{Z}5 = {0,1,2,3,4}$ under addition and multiplication mod 5. ElGamal problem: - Public key: $(q, \alpha, YA) = (101, 2, 14)$ - Message: "CSIT" - Encoding: $A=0, B=1, \dots, Z=25$ - Random number: $k = 4$ All required data present. --- A field requires: closure,...