GMP
2003
IEEE
14 years 4 months ago
2003
IEEE
Elliptic curve cryptography is known for its complexity due to its discrete logarithm problem, and this gives advantage to the system used since the formula developed using this c...
MYCRYPT
2005
Springer
14 years 5 months ago
2005
Springer
In this paper we produce a practical and efficient algorithm to find a decomposition of type n = k i=1 2si 3ti , si, ti ∈ N ∪ {0} with k ≤ c + o(1) ¡ log n log log n ....
MDAI
2005
Springer
14 years 5 months ago
2005
Springer
The purpose of this paper is to introduce pairing over elliptic curve and apply it to ID based key agreement schemes and privacy preserving key agreement schemes. The key words her...
CTRSA
2005
Springer
14 years 5 months ago
2005
Springer
For an integer w ≥ 2, a radix 2 representation is called a width-w nonadjacent form (w-NAF, for short) if each nonzero digit is an odd integer with absolute value less than 2w−...
AICCSA
2006
IEEE
14 years 5 months ago
2006
IEEE
This paper proposes a new method to compute Elliptic Curve Cryptography in Galois Fields GF(p). The method incorporates pipelining to utilize the benefit of both parallel and seri...
WISA
2007
Springer
14 years 5 months ago
2007
Springer
We propose a compact architecture of a Montgomery elliptic curve scalar multiplier in a projective coordinate system over GF(2m ). To minimize the gate area of the architecture, we...
PAIRING
2007
Springer
14 years 5 months ago
2007
Springer
We derive a new algorithm for computing the Tate pairing on an elliptic curve over a finite field. The algorithm uses a generalisation of elliptic divisibility sequences known as...
ESAS
2007
Springer
14 years 5 months ago
2007
Springer
Abstract. In this article we present the fastest known implementation of a modular multiplication for a 160-bit standard compliant elliptic curve (secp160r1) for 8-bit micro contro...
CRYPTO
2007
Springer
14 years 5 months ago
2007
Springer
An elliptic curve random number generator (ECRNG) has been approved in a NIST standards and proposed for ANSI and SECG draft standards. This paper proves that, if three conjecture...
PAIRING
2009
Springer
14 years 6 months ago
2009
Springer
When using pairing-friendly ordinary elliptic curves over prime fields to implement identity-based protocols, there is often a need to hash identities to points on one or both of ...