I want Examples on el gamal cipher
i want 2 Examples
like this
Example of ElGamal encryption
Alice chooses pA = 107, α A = 2, dA = 67, and she computes β A = 267 ≡ 94 (mod 107). Her public key is ( pA, α A, β A) = (2,67,94), and her private key is dA = 67.
Bob wants to send the message "B" (66 in ASCII) to Alice. He chooses a random integer k = 45 and encrypts M = 66 as (r, t) = ( αA k , βA kM) ≡ (245, 944566) ≡ (28, 9) (mod 107). He sends the encrypted message (28, 9) to Alice.
Alice receives the message ( r, t) = (28, 9), and using her private key dA = 67 she decrypts to
tr−dA = 9⋅28−67 ≡ 9⋅28106−67 ≡ 9⋅43 ≡ 66 (mod 107)