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Cryptographic Pairings
pairings elliptic curves
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2017/11/21
This article appeared as Chapter 9 of the book "Topics in Computational Number Theory inspired by Peter L. Montgomery", edited by Joppe W. Bos and Arjen K. Lenstra and published by Cambridge Universit...
Cryptographic Pairings Based on Elliptic Nets
public-key cryptography Tate pairing Ate pairing R-Ate pairing Optimal pairing elliptic net
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2010/7/14
In 2007, Stange proposed a novel method of computing the Tate pairing on an elliptic curve over a finite field. This method is based on elliptic nets, which are maps from $\mathbb{Z}^n$ to a ring that...
Implementing cryptographic pairings:a magma tutorial
cryptographic pairings magma tutorial KSS curves
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2009/6/11
In this paper we show an efficient implementation of the
Tate, ate and R-ate pairings in magma. This will be demonstrated by
using the KSS curves with embedding degree k = 18.
Designing an ASIP for Cryptographic Pairings over Barreto-Naehrig Curves
ASIP design-space exploration pairing-based cryptograph
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2009/6/11
This paper presents a design-space exploration of an applicationspeci
fic instruction-set processor (ASIP) for the computation of various cryptographic
pairings over Barreto-Naehrig curves (BN curve...
On Software Parallel Implementation of Cryptographic Pairings
Software Parallel Implementation Cryptographic Pairings
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2009/6/4
A significant amount of research has focused on methods to improve the efficiency
of cryptographic pairings; in part this work is motivated by the wide range of applications for
such primitives. Alt...
Implementing Cryptographic Pairings on Smartcards
Elliptic curves pairing-based cryptosystems Fast implementations
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2008/11/17
Pairings on elliptic curves are fast coming of age as crypto-
graphic primitives for deployment in new security applications, partic-
ularly in the context of implementations of Identity-Based Encr...
Implementing Cryptographic Pairings over Barreto-Naehrig Curves
Barreto-Naehrig Curves Cryptographic Pairings Fp12
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2008/5/26
In this paper we describe an e±cient implementation of the
Tate and Ate pairings using Barreto-Naehrig pairing-friendly curves, on
both a standard 32-bit PC and on a 32-bit smartcard. First we intro...
Implementing Cryptographic Pairings Over Curves of Embedding Degrees 8 and 10
bilinear pairings cryptography pairing-friendly curves
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2008/5/22
In this paper, we will describe efficient implementations of
the Tate and Ate pairings over ordinary elliptic curves of embedding degrees
8 and 10. We will discuss the possible curve-dependent optim...