A NEW PROPOSED METHOD FOR SOLVING AN ELLIPTIC CURVE DISCRETE LOGARITHM PROBLEM
DOI:
https://doi.org/10.31642/JoKMC/2018/010603Keywords:
Logarithm, ELLIPTIC CURVEAbstract
In this work, we present a new approach for solving Elliptic Curve Discrete Logarithm Problem. This method provides a new access to the field of attacking methods the Elliptic Curve Cryptosystems. Beside this paper gives a program for executing the proposed method by using MATLAP.
Downloads
References
A. Escott, J. Sager, A. Selkirk and D.
Tsapakidis, “Attacking Elliptic Curve
Cryptosystems Using The Parallel Pollard
Rho Method”, CryptoBytes–The Technical
Newsletter of RSA Laboratories, volume 4,
number 2, Winter 1999, 15-19. DOI: https://doi.org/10.1109/MPER.1999.808170
W. Fraleigh, “A First Course in Abstract
Algebra”, Third edition, Addison Wesley
Publisher, 1982.
S. D. Galbraith And N. P. Smart
“ Evaluation Report For Cryptrec: Security
Level Of Cryptography–ECDLP Mathematical
Problem ”, 2001.
http://www.ipa.go.jp/security/enc/CRYPTR
EC/fy15/doc/1029_report.pdf.
Koblitz, “A Course in Number Theory
and Cryptography”, Springer-Verlag, 2nd
edition, 1994.
A. Menezes, “Elliptic Curve Public Key
Cryptosystems”, Kluwer Academic Publishers,
A. Menezes, “Evaluation of Security
Level of Cryptography: The Elliptic Curve
Discrete Logarithm Problem (ECDLP)”,
Technical Report
http//www.ipa.go.jp/security/enc/CRYPTRE
C/fy15/doc/1028 ecdlp.pdf.
M. Wiener and R. Zuccherato, “Faster
Attacks on Elliptic Curve Cryptosystems”,
Selected Areas in Cryptography, Lecture
Notes in Computer Science, 1556, Springer-
Verlag, 190-200, 1999. DOI: https://doi.org/10.1017/S007418090011784X
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Ammar Ali Neamah
This work is licensed under a Creative Commons Attribution 4.0 International License.
which allows users to copy, create extracts, abstracts, and new works from the Article, alter and revise the Article, and make commercial use of the Article (including reuse and/or resale of the Article by commercial entities), provided the user gives appropriate credit (with a link to the formal publication through the relevant DOI), provides a link to the license, indicates if changes were made and the licensor is not represented as endorsing the use made of the work.
