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Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

The Huff curve–ElGamal graphic public key cryptosystem

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pp. 1753–1760Vol. 26Issue 6September 2023DOI: 10.47974/JDMSC-1640 Crossmark XML
Received:
05 May 2022
Accepted:
05 Jun 2022
Published Online:
01 Jun 2023
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1640
Pages:
1753–1760

Abstract

A new graph for the cryptographic application is presented in this work. This graph is defined using the Huff curve over a prime field. The Huffs curve graph (HCg) considered as an alternative graph of the Edwards curve graph (EdCG).The HCg is used to give another modified Version Public-key cryptosystem ElGamal (EPKC) the proposed HC-ElGamal graphic cryptosystem enhances the secure communication in compare with original EPKC.

Keywords

Subject Classifications

62-0965S05

References

[1] Hashim, Hashim Madlool, and Ruma Kareem K. Ajeena. “The Computational Complexity of the Elliptic Curve Factorization Algorithm over Real Field.” Journal of Physics: Conference Series. Vol. 1897. No. 1. IOP Publishing, 2021.
[2] Diffie, W., & Hellman, M. (1976). New directions in cryptography. IEEE transactions on Information Theory, 22(6), 644-654.
[3] ElGamal, T. (1985). A public key cryptosystem and a signature scheme based on discrete logarithms. IEEE transactions on Information Theory, 31(4), 469-472.
[4] Al Etaiwi, W. M. (2014). Encryption algorithm using graph theory, Journal of Scientific Research and Reports, 2519-2527.
[5] Agarwal, Shubham, and Anand Singh Uniyal. Prime Weighted Graph in cryptographic System For Secure Communication. International Journal of Pure and Applied Mathematics, 105(3), (2015), 325-338.
[6] R. Ajeena, “The soft graphic integer sub-decomposition method for elliptic scalar multiplication,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 24, no 6 pp. 1751-1765, 2021.
[7] K. Aljamaly, and R. Ajeena, “Undirected Complete Graph to Design New Public Key Cryptosystem,” Journal of Physics: Conference Series. vol. 1897, no. 1, IOP Publishing, 2021.
[8] K. Aljamaly, and R. Ajeena, “The elliptic scalar multiplication graph and its application in elliptic curve cryptography,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 24, no 6 pp. 1793-1807, 2021.
[9] R. Ajeena, and K. Aljamaly, The Edwards Curve Graphic Encryption Scheme, Journal of Discrete Mathematical Sciences and Cryptography, in press, 2022.
[10] G. B. Huff. Diophantine problems in geometry and elliptic ternary forms. Duke Math. J., 15:443–453, 1948.

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