28 search results - page 3 / 6 » Two Efficient Algorithms for Arithmetic of Elliptic Curves U... |
IJNSEC
2010
13 years 1 months ago
2010
The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
IJNSEC
2011
13 years 1 months ago
2011
In this paper, cyclic elliptic curves of the form y2 + xy = x3 + ax2 + b, a, b ∈ GF(2m ) with order M is considered in the design of a Symmetric Key Image Encryption Scheme with...
INDOCRYPT
2004
Springer
13 years 11 months ago
2004
Springer
Abstract. We present a new elliptic curve cryptosystem with fast encryption and key generation, which is provably secure in the standard model. The scheme uses arithmetic modulo n2...
JUCS
2008
13 years 6 months ago
2008
We present an algorithm that by using the and -1 Frobenius operators concurrently allows us to obtain a parallelized version of the classical -and-add scalar multiplication algor...
ICISC
2004
13 years 7 months ago
2004
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...