Security Analysis On Elliptic Curve Cryptosystem Based On Second Order Lucas Sequence Using Faults Based Attack

Elliptic Curve Cryptosystem based on second order Lucas sequenceis a cryptosystem using elliptic curves over finite fields as a mask and incorporate with second order of Lucas sequence. The security of the Elliptic Curve Cryptography cryptosystem depends on the discrete logarithms. In this cryptosystem, Lucas sequence is employed to compute the ciphertext or recover the plaintext. The Elliptic Curve Cryptosystem based on second order Lucas sequence is vulnerable when the bit of the decryption key, $d$ flips by using fault based attack.