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» Cryptosystems Based on Elliptic Curve Pairing
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MDAI
2005
Springer
13 years 10 months ago
Cryptosystems Based on Elliptic Curve Pairing
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...
Eiji Okamoto, Takeshi Okamoto
ICICS
1997
Springer
13 years 8 months ago
Efficient elliptic curve exponentiation
Elliptic curve cryptosystems, proposed by Koblitz([8]) and Miller([11]), can be constructed over a smaller definition field than the ElGamal cryptosystems([5]) or the RSA cryptosys...
Atsuko Miyaji, Takatoshi Ono, Henri Cohen
IMA
2005
Springer
162views Cryptology» more  IMA 2005»
13 years 10 months ago
Pairing-Based Cryptography at High Security Levels
In recent years cryptographic protocols based on the Weil and Tate pairings on elliptic curves have attracted much attention. A notable success in this area was the elegant solutio...
Neal Koblitz, Alfred Menezes
ACSW
2007
13 years 6 months ago
Isogeny cordillera algorithm to obtain cryptographically good elliptic curves
The security of most elliptic curve cryptosystems is based on the intractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP). Such a problem turns out to be computati...
Josep M. Miret, D. Sadornil, J. Tena, R. Tomas, Ma...
CRYPTO
2004
Springer
126views Cryptology» more  CRYPTO 2004»
13 years 10 months ago
Compressed Pairings
Pairing-based cryptosystems rely on bilinear non-degenerate maps called pairings, such as the Tate and Weil pairings defined over certain elliptic curve groups. In this paper we s...
Michael Scott, Paulo S. L. M. Barreto