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Cryptographic Pairings     pairings  elliptic curves       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...
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...
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.
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...
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...
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...
In this paper we describe ancient 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...
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...

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