Secure Elliptic Curve Exponentiation against RPA, ZRA, DPA, and SPA

An Improved and Efficient Countermeasure against Power Analysis Attacks

Recently new types of differential power analysis attacks (DPA) against elliptic curve cryptosystems (ECC) and RSA systems have been introduced. Most existing countermeasures against classical DPA attacks are vulnerable to these new DPA attacks which include refined power analysis attacks (RPA), zero-value point attacks (ZPA), and doubling attacks. The new attacks are different from classical D...

Efficient Countermeasures against RPA, DPA, and SPA

In the execution on a smart card, side channel attacks such as simple power analysis (SPA) and the differential power analysis (DPA) have become serious threat [15]. Side channel attacks monitor power consumption and even exploit the leakage information related to power consumption to reveal bits of a secret key d although d is hidden inside a smart card. Almost public key cryptosystems includi...

Highly Efficient Elliptic Curve Scalar Multiplication Method with Resistance against Side Channel Attacks

Elliptic Curve Cryptosystems (ECCs) has attracted many researchers and has been included in many standards. ECC is evolving as an attractive alternative to other public-key schemes such as RSA by offering the smallest key size and the highest strength per bit. Small key sizes and computational efficiency make ECCs not only applicable to hosts processing security protocols over wired networks, b...

Generalized Scalar Multiplication Secure against SPA, DPA, and RPA

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...