In recent years, more and more security-sensitive activities like shopping or banking transactions are carried out over the Internet, an inherently insecure medium. In addition, many of these activities are performed using small, mobile devices, severely limited in terms of available energy, memory, and computational power. This work describes the development of a generic cryptographic library in ANSI C that allows to use the memory saving elliptic curve cryptography (ECC) over arbitrary prime and binary extension fields in the secure sockets layer protocol (SSL) to facilitate encrypted communication over the Internet. In addition, the impact of instruction set extensions on the performance of cryptographic operations is investigated. The developed library needs only five percent of the memory OpenSSL requires, with a comparable performance in prime fields, and a performance gain between factors two and eight when using instruction set extensions over the OpenSSL implementation.
Efficient Security for Mobile Communication Utilizing Elliptic Curves
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In recent years, more and more security-sensitive activities like shopping or banking transactions are carried out over the Internet, an inherently insecure medium. In addition, many of these activities are performed using small, mobile devices, severely limited in terms of available energy, memory, and computational power. This work describes the development of a generic cryptographic library in ANSI C that allows to use the memory saving elliptic curve cryptography (ECC) over arbitrary prime and binary extension fields in the secure sockets layer protocol (SSL) to facilitate encrypted communication over the Internet. In addition, the impact of instruction set extensions on the performance of cryptographic operations is investigated. The developed library needs only five percent of the memory OpenSSL requires, with a comparable performance in prime fields, and a performance gain between factors two and eight when using instruction set extensions over the OpenSSL implementation.
With the explosion of the Internet as well as the wireless and mobile communications, it faces a growing need for security. Both for secure web transaction and for secure messaging, an efficient...
The explosive demand for mobile communications is driving the development of wireless technology at an unprecedented pace. Unfortunately, this exceptional growth is also giving rise to a myriad of...
Algebraic Varieties.- Algebraic Curves.- The Geometry of Elliptic Curves.- The Formal Group of an Elliptic Curve.- Elliptic Curves over Finite Fields.- Elliptic Curves over C.- Elliptic Curves over...
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