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In this paper we present a comprehensive comparison between pairing-friendly elliptic curves, considering different curve forms and twists where possible. We define a measure of the efficiency of a pa...
A recent NFS attack against pairings made it necessary to increase the key sizes of the most popular families of pairings : BN, BLS12, KSS16, KSS18 and BLS24. The attack applies to other families of p...
We present two new Verifiable Delay Functions (VDF) based on assumptions from elliptic curve cryptography. We discuss both the advantages and some drawbacks of our constructions, we study their securi...
Group signature is a useful cryptographic primitive, which makes every group member sign messages on behalf of a group they belong to. Namely group signature allows that group member anonymously signs...
In this paper we give a comprehensive comparison between pairing-friendly elliptic curves in Jacobi Quartic and Edwards form with quadratic, quartic, and sextic twists. Our comparison looks at the bes...
Bilinear pairings on elliptic curves are an active research field in cryptography. First cryptographic protocols based on bilinear pairings were proposed by the year 2000 and they are promising soluti...
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...
We present new constructions of multi-input functional encryption (MIFE) schemes for the inner-product functionality that improve the state of the art solution of Abdalla et al. (Eurocrypt 2017) in tw...
Hidden vector encryption (HVE), introduced by Boneh and Waters in TCC'07, is an expressive sub-class of predicate encryption, that allows conjunctive, subset, range and comparison queries over encrypt...
Recent progress on NFS imposed a new estimation of the security of pairings. In this work we study the best attacks against some of the most popular pairings. It allows us to propose new pairing-frien...
In these years, the design of certificateless signature (CLS) scheme without bilinear pairings has been thoroughly investigated owing to its effectiveness on solving the key escrow problem in identity...
Many pairing-based protocols require the computation of the product and/or of a quotient of n pairings where n > 1 is a natural integer. Zhang et al.[1] recently showed that the Kachisa-Schafer and Sc...
We present a multi-input functional encryption scheme (MIFE) for the inner product functionality based on the k-Linear assumption in prime-order bilinear groups. Our construction works for any polynom...
In recent years, public key encryption with equality test (PKEET) has become a hot research topic in the cryptography community due to the advancement of cloud computing. Recently, Ma et al. propose...
Several pairing-based cryptographic protocols are recently proposed with a wide variety of new novel applications including the ones in emerging technologies like cloud computing, internet of things...

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