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» Generating Elliptic Curves of Prime Order
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PAIRING
2009
Springer
124views Cryptology» more  PAIRING 2009»
14 years 3 months ago
Fast Hashing to G2 on Pairing-Friendly Curves
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 ...
Michael Scott, Naomi Benger, Manuel Charlemagne, L...
IJNSEC
2011
145views more  IJNSEC 2011»
13 years 3 months ago
Symmetric Key Image Encryption Scheme with Key Sequences Derived from Random Sequence of Cyclic Elliptic Curve Points
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...
S. V. Sathyanarayana, M. Aswatha Kumar, K. N. Hari...
DCC
2001
IEEE
14 years 8 months ago
How to Choose Secret Parameters for RSA-Type Cryptosystems over Elliptic Curves
Recently, and contrary to the common belief, Rivest and Silverman argued that the use of strong primes is unnecessary in the RSA cryptosystem. This paper analyzes how valid this as...
Marc Joye, Jean-Jacques Quisquater, Tsuyoshi Takag...
DCC
2007
IEEE
14 years 8 months ago
Inferring sequences produced by a linear congruential generator on elliptic curves missing high-order bits
Let p be a prime and let E(IFp) be an elliptic curve defined over the finite field IFp of p elements. For a given point G E(IFp) the linear congruential genarator on elliptic curv...
Jaime Gutierrez, Álvar Ibeas
CRYPTO
1991
Springer
150views Cryptology» more  CRYPTO 1991»
13 years 12 months ago
CM-Curves with Good Cryptographic Properties
Our purpose is to describe elliptic curves with complex multiplication which in characteristic 2 have the following useful properties for constructing Diffie-HeUman type cryptosys...
Neal Koblitz