CompNetwork 41

34In Digital Signature Standard Algorithm suppose p = 283, q = 47, g = 60. Let user's private key a = 24 and random value chosen be k = 15. Consider a message M with message digest h = Hash (M).
Then the signature (r, s) = _______

Option : C
Explanation :
INPUT: Domain parameters (p=283,q=47,g=60)
INPUT: user's private key, a=24
INPUT: Message M with message digest h=Hash(M)=41.
user chooses a random k=15 in the range [1,q−1]
user computes X=gkmodp=6015mod283=207 and
r=Xmodq=207mod47=19.
r≠0 so continue.
user computes k−1modq=15−1mod47=22.
user computes h=Hash(M)=41.
user computes s=k−1(h+ar)modq=22(41+24⋅19)mod47=30.
s≠0 so continue.
user's issues the message M and signature (r,s)=(19,30).

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