Application of Montgomery’s Trick to Scalar Multiplication for Elliptic and Hyperelliptic Curves Using a Fixed Base Point-Reference-Cited by-同舟云学术

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Application of Montgomery’s Trick to Scalar Multiplication for Elliptic and Hyperelliptic Curves Using a Fixed Base Point

Published:2004 Issue: Volume: Page:41-54
ISSN:0302-9743
Container-title:Public Key Cryptography – PKC 2004
language:
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Author:

Mishra Pradeep Kumar,Sarkar Palash

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/978-3-540-24632-9_4

Reference24 articles.

1. Lecture Notes in Computer Science;R.M. Avanzi,2003

2. Lecture Notes in Computer Science;E. Brior,2002

3. Cantor, D.G.: Computing in the Jacobian of a Hyperelliptic curve. Mathematics of Computation 48, 95–101 (1987)

4. Lecture Notes in Computer Science;J.-S. Coron,1999

5. Fong, K., Hankerson, D., López, J., Menezes, A.: Field inversion and point halving revisited. Technical Report, CORR 2003-18, Department of Combinatorics and Optimization, University of Waterloo, Canada (2003)

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2. Efficient Application of the Residue Number System in Elliptic Cryptography;Lecture Notes in Electrical Engineering;2022

3. A Constant Time Full Hardware Implementation of Streamlined NTRU Prime;Smart Card Research and Advanced Applications;2021

4. Montgomery’s Trick and Fast Implementation of Masked AES;Lecture Notes in Computer Science;2011

5. Revisited (Hyper)-Elliptic Curve Scalar Multiplication with a Fixed Point;Journal of Information Processing;2008

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