Analysis of the Gallant-Lambert-Vanstone Method Based on Efficient Endomorphisms: Elliptic and Hyperelliptic Curves-Reference-Cited by-同舟云学术

Analysis of the Gallant-Lambert-Vanstone Method Based on Efficient Endomorphisms: Elliptic and Hyperelliptic Curves

Published:2003 Issue: Volume: Page:21-36
ISSN:0302-9743
Container-title:Selected Areas in Cryptography
language:
Short-container-title:

Author:

Sica Francesco,Ciet Mathieu,Quisquater Jean-Jacques

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/3-540-36492-7_3

Reference18 articles.

1. I. Blake, G. Seroussi, and N. Smart. Elliptic Curves in Cryptography, volume 265 of London Mathematical Society. Cambridge University Press, 2000.

2. H. Cohen. A Course in Computational Algebraic Number Theory, volume 138 of Graduate Texts in Mathematics. Springer, 1996.

3. H. Daudé, P. Flajolet, and B. Vallée. An Average-case Analysis of the Gaussian Algorithm for Lattice Reduction. Technical Report 2798, INRIA, February 1996.

4. H. Davenport. Multiplicative Number Theory, volume 74 of Graduate Texts in Mathematics. Springer Verlag, 1980.

5. Lect Notes Comput Sci;R. P. Gallant,2001

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. GLV/GLS Scalar Multiplication on Twisted Edwards Curves;Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering;2022

2. A new twofold Cornacchia-type algorithm and its applications;Advances in Mathematics of Communications;2021

3. Euclidean addition chains scalar multiplication on curves with efficient endomorphism;Journal of Cryptographic Engineering;2018-05-17

4. Refinement of the Four-Dimensional GLV Method on Elliptic Curves;Selected Areas in Cryptography – SAC 2017;2017-12-23

5. The $$\mathbb {Q}$$ Q -curve Construction for Endomorphism-Accelerated Elliptic Curves;Journal of Cryptology;2015-08-01