Differential Fault Attacks on Elliptic Curve Cryptosystems

Fault Attacks on Elliptic Curve Cryptosystems

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....

Implementation of Fault Attacks on Elliptic Curve Cryptosystems

The main motivation behind Elliptic Curve Cryptography is to find a Public Key Family which provides the same level of security as Discrete Log Systems or RSA but with shorter operands. Through Fault Attacks, the adversary disturbs the computation of Cryptographic device to obtain information about Secret Key. This paper uses Elliptic Curve Point Multiplication Algorithm based on a binary seque...

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...

Power Analysis Attacks and Algorithmic Approaches to their Countermeasures for Koblitz Curve Cryptosystems

Because of their shorter key sizes, cryptosystems based on elliptic curves are being increasingly used in practical applications. A special class of elliptic curves, namely, Koblitz curves, offers an additional but crucial advantage of considerably reduced processing time. In this article, power analysis attacks are applied to cryptosystems that use scalar multiplication on Koblitz curves. Both...