Pairing-Based Cryptography - Pairing 2008, Second International Conference, Egham, UK, September 1-3, 2008. Proceedings

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Pairings in Trusted Computing

Pairings have now been used for constructive applications in cryptography for around eight years. In that time the range of applications has grown from a relatively narrow one of identity based encryption and signatures, through to more advanced protocols. In addition implementors have realised that pairing protocols once presented can often be greatly simplified or expanded using the mathemati...

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Constructing Abelian Varieties for Pairing-Based Cryptography

Constructing Abelian Varieties for Pairing-Based Cryptography

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NanoECC: Testing the Limits of Elliptic Curve Cryptography in Sensor Networks

By using Elliptic Curve Cryptography (ECC), it has been recently shown that Public-Key Cryptography (PKC) is indeed feasible on resource-constrained nodes. This feasibility, however, does not necessarily mean attractiveness, as the obtained results are still not satisfactory enough. In this paper, we present results on implementing ECC, as well as the related emerging field of Pairing-Based Cry...

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The Hidden Root Problem

In this paper we study a novel computational problem called the Hidden Root Problem, which appears naturally when considering fault attacks on pairing based cryptosystems. Furthermore, a variant of this problem is one of the main obstacles for efficient pairing inversion. We present an algorithm to solve this problem over extension fields and investigate for which parameters the algorithm becom...

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Tate Pairing Computation on the Divisors of Hyperelliptic Curves of Genus 2

We present an explicit Eta pairing approach for computing the Tate pairing on general divisors of hyperelliptic curves Hd of genus 2, where Hd : y 2 + y = x5 + x3 + d is defined over F2n with d = 0 or 1. We use the resultant for computing the Eta pairing on general divisors. Our method is very general in the sense that it can be used for general divisors, not only for degenerate divisors. In th...

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عنوان ژورنال:

دوره 5209  شماره 

صفحات  -

تاریخ انتشار 2008