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In the past two years there have been several advances in Number Field Sieve (NFS) algorithms for computing discrete logarithms in finite fields \fpn\fpn where pp is prime and n>1n>1 is a small intege...
The latest implementations of pairings allow efficient schemes for Pairing Based Cryptography. These make the use of pairings suitable for small and constrained devices (smart phones, smart cards. ....
Pairing-based cryptography (PBC) has many elegant properties. It is claimed that PBC can offer a desired security level with smaller parameters as the general elliptic curve cryptography (ECC). In t...
Pairings are typically implemented using ordinary pairingfriendly elliptic curves. The two input groups of the pairing function are groups of elliptic curve points, while the target group lies in th...
Techniques from pairing based cryptography (PBC) are used in an in- creasing number of cryptographic schemes. With progress regarding efficient implementations, pairings also become interesting for ap...
Techniques from pairing based cryptography (PBC) are used in an in- creasing number of cryptographic schemes. With progress regarding efficient implementations, pairings also become interesting for ap...
Techniques from pairing based cryptography (PBC) are used in an in- creasing number of cryptographic schemes. With progress regarding efficient implementations, pairings also become interesting for ap...
A cryptographic pairing evaluates as an element in an ex- tension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recognised that organising the ...
Elliptic curves suitable for pairing based cryptography.
Although identity based cryptography o ers a number of functional advantages over conventional public key methods, the computational costs are significantly greater. The dominant part of this cost i...
In recent years cryptographic protocols based on the Weil and Tate pairings on elliptic curves have attracted much attention. A no- table success in this area was the elegant solution by Boneh and F...
The security and performance of pairing based cryptography has provoked a large volume of research, in part because of the exciting new cryptographic schemes that it underpins. We re-examine how one...
Since their introduction in constructive cryptographic applications, pairings over (hyper)elliptic curves are at the heart of an ever increasing number of protocols. Software implementations being ...

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