we will modify the Elgamal Digital signature scheme. For convenience, here is the signature generation flow (All variables have their usual meaning unless otherwise stated):

Signature parameter is modified as = ¹( ) ( 1) . For signature verification if we use = . What is the value of in terms of r ? Is the security of the digital signature compromised? Please explain in brief.

Key Generation for Elgamal Digital Signature I. Choose a large prime p. 2. Choose a primitive element of z;, or a subgroup of Z 3. Choose a random integer d e 2,3,p-2) 4. Compute dod p Elgamal Signature Generation I. Choose a random ephemeral key KE E 10,1,2. p 2) such that gcd(AE, p-1)-1. 2. Compute the signature parameters: Elgamal Signature Verification 1. Compute the value 2. The verification follows from: 1B mod p o mod pvalid signature mod p-invalid signature Key Generation for Elgamal Digital Signature I. Choose a large prime p. 2. Choose a primitive element of z;, or a subgroup of Z 3. Choose a random integer d e 2,3,p-2) 4. Compute dod p Elgamal Signature Generation I. Choose a random ephemeral key KE E 10,1,2. p 2) such that gcd(AE, p-1)-1. 2. Compute the signature parameters: Elgamal Signature Verification 1. Compute the value 2. The verification follows from: 1B mod p o mod pvalid signature mod p-invalid signature