Given public key e=7, n = 35, Plaintext M = 3 in RSA,
i). Find a number d (the decryption key )
ii). Encrypt m using the public key (e , n)
iii).Sign m using the private key (d , n)
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To compute the value for d, use the Extended Euclidean Algorithm to calculate d=e−1modϕ, also written d=(1/e)modϕ. This is known as modular inversion . Note that this is not integer division. The modular inverse d is defined as the integer value such that ed=1modϕ.
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