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IMA
2005
Springer

Pairing-Based Cryptography at High Security Levels

14 years 19 days 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 solution by Boneh and Franklin [7] of the problem of efficient identity-based encryption. At the same time, the security standards for public key cryptosystems are expected to increase, so that in the future they will be capable of providing security equivalent to 128-, 192-, or 256-bit AES keys. In this paper we examine the implications of heightened security needs for pairing-based cryptosystems. We first describe three different reasons why high-security users might have concerns about the long-term viability of these systems. However, in our view none of the risks inherent in pairing-based systems are sufficiently serious to warrant pulling them from the shelves. We next discuss two families of elliptic curves E for use in pairingbased cryptosystems. The first has the property that the pairing takes values in...
Neal Koblitz, Alfred Menezes
Added 27 Jun 2010
Updated 27 Jun 2010
Type Conference
Year 2005
Where IMA
Authors Neal Koblitz, Alfred Menezes
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