Pairing-Based Cryptography on Elliptic Curves

被引：3

作者：

Miret, Josep M. ^{[1
]}

Sadornil, Daniel ^{[2
]}

Tena, Juan G. ^{[3
,4
]}

机构：

[1] Univ Lleida, Escola Politecn Super, Dept Matemat, Jaume 2,69, Lleida 25001, Spain

[2] Univ Cantabria, Fac Ciencias, Dept Matemat Estadist & Computac, Avda Castros S-N, E-39005 Santander, Spain

[3] Univ Valladolid, Fac Ciencias, IMUVA, Paseo de Belen 7, E-47011 Valladolid, Spain

[4] Univ Valladolid, Fac Ciencias, Dept Algebra Anal Matemat Geometria & Topol, Paseo de Belen 7, E-47011 Valladolid, Spain

来源：

MATHEMATICS IN COMPUTER SCIENCE | 2018年 / 12卷 / 03期

关键词：

Elliptic curves; Pairings; Weil pairing; Identity-based cryptography; Embedding degree; Pairing-friendly elliptic curves;

D O I：

10.1007/s11786-018-0347-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a brief overview of a recent branch of Public Key Cryptography, the so called Pairing-based Cryptography or Identity-based Cryptography. We describe the Weil pairing and its applications to cryptosystems and cryptographic protocols based on pairings as well as the elliptic curves suitable for the implementation of this kind of cryptography, the so called pairing-friendly curves. Some recent results of the authors are included.

引用

页码：309 / 318

页数：10

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