Background Elliptic curve cryptographic schemes were proposed independently in 1985 by
Neal Koblitz (Koblitz 1987) and Victor Miller (Miller 1986). They are the elliptic curve …

Abstract The Elliptic Curve Digital Signature Algorithm (ECDSA) is the elliptic curve
analogue of the Digital Signature Algorithm (DSA). It was accepted in 1999 as an ANSI …

This paper explains the design and implementation of a high-security elliptic-curve-Diffie-
Hellman function achieving record-setting speeds: eg, 832457 Pentium III cycles (with …

We present the first known implementation of elliptic curve cryptography over F/sub 2p/for
sensor networks based on the 8-bit, 7.3828-MHz MICA2 mote. Through instrumentation of …

The fundamental operation in elliptic curve cryptographic schemes is the multiplication of an
elliptic curve point by an integer. This paper describes a new method for accelerating this …

Cache attacks exploit memory access patterns of cryptographic implementations. Constant-
time implementation techniques have become an indispensable tool in fighting cache timing …

In this paper we introduce NTRUSign, an ew family of signature schemes based on solving
the approximate closest vector problem (appr-CVP) in NTRU-type lattices. We explore the …

The Tate pairing has found several new applications in cryptography. This paper provides
methods to quickly compute the Tate pairing, and hence enables efficient implementation of …

This paper presents an extensive study of the software implementation on workstations of
the NIST-recommended elliptic curves over prime fields. We present the results of our …

Настоящая книга посвящена перспективному направлению в области защиты
информации, математическую основу которого составляет теория эллиптических …