… Elliptic curve cryptographic schemes … elliptic curve analogues of schemes based on the
discrete logarithm problem where the underlying group is the group of points on an elliptic curve …

… of elliptic curve cryptosystems from … elliptic curve doublings and 80 elliptic curve additions.
From the addition formula for non-supersingular curves (see §2), we see that an elliptic curve …

… The crucial property of an elliptic curve is that we can define a rule for adding two points
which are on the curve, to obtain a third point which is also on the curve. This addition rule …

… we perform a review of elliptic curve cryptography (ECC) as it … of this type of public-key
cryptography: Bitcoin, secure shell (… similar to those that plague previous cryptographic systems. …

… elliptic curve in cryptography is given in section 2. We present in Section 3, mathematical
background on elliptic curve … in Section 4, and Elliptic Curve applications are presented in Sec…

… various cryptographic protocols in which elliptic curves are … [ECC] and focus on their
cryptographic properties. We shall only … of cryptographic protocols, and elliptic curve protocols in …

… Elliptic Curve (EC) is the most recent and advanced technique of Elliptic Curve Cryptography
(… The study of cryptography is required because unsecure networks make data transmission …

… As an introductory example of a cryptographic scheme based on the elliptic curve, we
describe the EC Diffie– Hellman scheme used for key agreement. It is by far the simplest and the …

… The basics of elliptic curves and their arithmetic are discussed … elliptic curve cryptography
over RSA in public cryptosystems. … of elliptic curves, the group laws of elliptic curves and elliptic …

… approach to elliptic curve cryptography,” presented at the Workshop Cryptographic Hardw. …
Skytta, “A scalable architecture for elliptic curve point multiplication,” presented at the ICFPT…