椭圆曲线、双线性对学习资料

以下资料的索引主要来自于老师推荐和Google。

1、文章、书籍、网页

（1）椭圆曲线

Wikipedia

https://en.wikipedia.org/wiki/Elliptic_curve_cryptography

 

http://www.isg.rhul.ac.uk/~sdg/ecc.html Elliptic Curve Cryptography

 

ellipticnews

http://ellipticnews.wordpress.com/

http://ellipticnews.wordpress.com/2010/12/26/elliptic-curve-cryptography-books/

 

certicom网站的ECC资料

http://www.certicom.com/index.php/ecc-tutorial 关于ECC的初级教程

http://www.certicom.com/index.php/ecc

 

书籍：

An Introduction toMathematical Cryptography

Jeffrey Hoffstein

Jill Pipher

Joseph H. Silverman

Chapter5 Elliptic Curves and Cryptography

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.182.9999&rep=rep1&type=pdf

 

Advances in EllipticCurve Cryptography

Ian F. Blake

Gadiel Seroussi

Nigel P. Smart

http://cdn.preterhuman.net/texts/cryptography/Cambridge%20University%20Press.%20Advances%20in%20Elliptic%20Curve%20Cryptography%20(2005).pdf

 

（2）双线性对

Wikipedia: Pairing-based_cryptography, Pairing, Weil_pairing, Tate_pairing（链接含有非法字符……）

An Introduction to Pairing-Based Cryptography, Alfred Menezes

http://cacr.uwaterloo.ca/~ajmeneze/publications/pairings.pdf

 

Pairing-basedCryptography: A short signaturescheme using the Weil pairing

http://www.sagemath.org/files/thesis/hansen-thesis-2009.pdf

Pairing-Based Cryptography

MasterThesis

Martijn Maas

http://www.win.tue.nl/~bdeweger/downloads/MT%20Martijn%20Maas.pdf

 

Pairing-based Cryptography

R.Baruaand R.Dutta

http://math.iisc.ernet.in/~nmi/downloads/RBC.pdf

The Pairing-BasedCrypto Lounge

http://www.larc.usp.br/~pbarreto/pblounge.html

The Tate Pairing

https://www.google.com.hk/search?q=The+Tate+Pairing&oq=The+Tate+Pairing&aqs=chrome..69i57j69i65j69i60j69i64.319j0j1&sourceid=chrome&espv=2&es_sm=93&ie=UTF-8 

2、课程

（1）Stanford:CS 259C/Math 250: Elliptic Curves in Cryptography

http://www.stanford.edu/class/cs259c/

3、源码

（1）The Pairing-Based Cryptography Library(PBC)

http://crypto.stanford.edu/pbc/

http://crypto.stanford.edu/pbc/manual/PBC library manual

（2）The Java Pairing Based CryptographyLibrary (JPBC)

http://gas.dia.unisa.it/projects/jpbc/