Implementation of Fault Attacks on Elliptic Curve Cryptosystems

Efficient elliptic curve cryptosystems

Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...

Differential Fault Attacks on Elliptic Curve Cryptosystems

In this paper we extend the ideas for differential fault attacks on the RSA cryptosystem (see [4]) to schemes using elliptic curves. We present three different types of attacks that can be used to derive information about the secret key if bit errors can be inserted into the elliptic curve computations in a tamper-proof device. The effectiveness of the attacks was proven in a software simulatio...

Sign Change Fault Attacks on Elliptic Curve Cryptosystems

We present a new type of fault attacks on elliptic curve scalar multiplications: Sign Change Attacks. These attacks exploit different number representations as they are often employed in modern cryptographic applications. Previously, fault attacks on elliptic curves aimed to force a device to output points which are on a cryptographically weak curve. Such attacks can easily be defended against....

Fault Attacks on Elliptic Curve Cryptosystems

Power Analysis Breaks Elliptic Curve Cryptosystems even Secure against the Timing Attack

We apply power analysis on known elliptic curve cryptosystems, and consider an exact implementation of scalar multiplication on elliptic curves for resisting against power attacks. Our proposed algorithm does not decrease the computational performance compared to the conventional scalar multiplication algorithm, whereas previous methods did cost the performance or fail to protect against power ...