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» Supersingular Elliptic Curves in Cryptography
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GMP
2003
IEEE
247views Solid Modeling» more  GMP 2003»
15 years 5 months ago
Message Recovery Signature Scheme Using Complementary Elliptic Curves
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...
Teo Chun Yew, Hailiza Kamarulhaili, Putra Sumari
INDOCRYPT
2001
Springer
15 years 4 months ago
Elliptic Curves of Prime Order over Optimal Extension Fields for Use in Cryptography
We present an algorithm for generating elliptic curves of prime order over Optimal Extension Fields suitable for use in cryptography. The algorithm is based on the theory of Comple...
Harald Baier
ESORICS
2004
Springer
15 years 5 months ago
A Public-Key Encryption Scheme with Pseudo-random Ciphertexts
This work presents a practical public-key encryption scheme that offers security under adaptive chosen-ciphertext attack (CCA) and has pseudo-random ciphertexts, i.e. ciphertexts ...
Bodo Möller
WAIFI
2010
Springer
158views Mathematics» more  WAIFI 2010»
14 years 9 months ago
On the Efficiency and Security of Pairing-Based Protocols in the Type 1 and Type 4 Settings
Abstract. We focus on the implementation and security aspects of cryptographic protocols that use Type 1 and Type 4 pairings. On the implementation front, we report improved timing...
Sanjit Chatterjee, Darrel Hankerson, Alfred Meneze...
107
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CHES
2009
Springer
162views Cryptology» more  CHES 2009»
16 years 7 days ago
Hardware Accelerator for the Tate Pairing in Characteristic Three Based on Karatsuba-Ofman Multipliers
Abstract. This paper is devoted to the design of fast parallel accelerators for the cryptographic Tate pairing in characteristic three over supersingular elliptic curves. We propos...
Jean-Luc Beuchat, Jérémie Detrey, Ni...