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 …

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

This paper considers a generalized form for Hessian curves. The family of generalized
Hessian curves covers more isomorphism classes of elliptic curves. Over a finite field F_q, it …

Efficient implementation of point multiplication is crucial for elliptic curve cryptographic
systems. This paper presents the implementation results of an elliptic curve crypto-processor …

This paper discusses parallelization of elliptic curve cryptography hardware accelerators
using elliptic curves over binary fields F 2m. Elliptic curve point multiplication, which is the …

Recently, considerable research has been performed in cryptography and security to
optimize the area, power, timing, and energy needed for the point multiplication operations …

In this work, we describe a software implementation of elliptic curve cryptography and
pairing-based cryptography for the MSP430 microcontroller family, which is used in wireless …

In this work, we present new arithmetic formulas for a projective version of the affine point
representation (x, x+ y/x),(x, x+ y/x), for x ≠ 0, x≠ 0, which leads to an efficient computation …

In this paper, we introduce an FPGA-based processor for elliptic curve cryptography on
Koblitz curves. The processor targets specifically to applications requiring very high speed …

Galbraith, Lin, and Scott recently constructed efficiently computable endomorphisms for a
large family of elliptic curves defined over IF q 2 and showed, in the case where q is a prime …