Question

Consider a diffie hellman scheme with a common prime q=11 and a primitive root alpha=2.

a.If user a has public key ya=9,what is a's private key xa?

Answer 1

we have given

public key ya=9

we have to find private key=xa=?

to find private key we first have to find

alpha a

and x

we have given

alpha=a=2

and also

common prime number =x=11

so we can find private key by multiplying x and a

private key=xa=11*2=22