Bob uses p = (141, 19) as his public key and S = 21 as his secret key. Is Bob's system correct? Please show all work and explanations. Thank You
Bob uses p = (141, 19) as his public key and S = 21 as his secret key. Is Bob's system correct? Please show all work and explanations. Thank You
Homework Answers
p=(141,19) that means N=141=3×47
r=(3-1)(47-1)=92
We choose k such that k=1 mod r
Let k=93, factors of k=3×31
we have e = 19
d = 21
N = 141
r = 92
e*d = 399
e*d mod r = 31
e and r are relatively prime
d and r are relatively prime. This implies e and d are
consistent.
This gives us that the public key and the secret key are acceptable.
Hence, Bob's system is correct.
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Bob uses p = (141, 19) as his public key and S = 21 as his secret key. Is Bob's system correct? Please show all work and explanations. Thank You
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