A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem

In this paper, a new cryptosystem will be developed which is analogue to ElGamal encryption scheme and based on Lucas sequence in the elliptic curve group over finite field. In this encryption scheme, an Elliptic curve Diffie-Hellman (ECDH) key agreement be the first part of the encryption, the keys...

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Main Authors: Wong, Tze Jin, Md. Said, Mohamad Rushdan, Othman, Mohamed, Koo, Lee Feng
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access:http://psasir.upm.edu.my/id/eprint/36176/
http://psasir.upm.edu.my/id/eprint/36176/1/A%20Lucas%20based%20cryptosystem%20analog%20to%20the%20ElGamal%20cryptosystem%20and%20elliptic%20curve%20cryptosystem.pdf
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author Wong, Tze Jin
Md. Said, Mohamad Rushdan
Othman, Mohamed
Koo, Lee Feng
author_facet Wong, Tze Jin
Md. Said, Mohamad Rushdan
Othman, Mohamed
Koo, Lee Feng
author_sort Wong, Tze Jin
building UPM Institutional Repository
collection Online Access
description In this paper, a new cryptosystem will be developed which is analogue to ElGamal encryption scheme and based on Lucas sequence in the elliptic curve group over finite field. In this encryption scheme, an Elliptic curve Diffie-Hellman (ECDH) key agreement be the first part of the encryption, the keys of this encryption scheme is defined based on elliptic curve and the order of the group G. The Lucas sequence will be used for the computations of plaintext and ciphertext in the process of encryption and decryption respectively.
first_indexed 2025-11-15T09:31:39Z
format Conference or Workshop Item
id upm-36176
institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T09:31:39Z
publishDate 2014
publisher AIP Publishing LLC
recordtype eprints
repository_type Digital Repository
spelling upm-361762016-05-17T04:52:09Z http://psasir.upm.edu.my/id/eprint/36176/ A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem Wong, Tze Jin Md. Said, Mohamad Rushdan Othman, Mohamed Koo, Lee Feng In this paper, a new cryptosystem will be developed which is analogue to ElGamal encryption scheme and based on Lucas sequence in the elliptic curve group over finite field. In this encryption scheme, an Elliptic curve Diffie-Hellman (ECDH) key agreement be the first part of the encryption, the keys of this encryption scheme is defined based on elliptic curve and the order of the group G. The Lucas sequence will be used for the computations of plaintext and ciphertext in the process of encryption and decryption respectively. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36176/1/A%20Lucas%20based%20cryptosystem%20analog%20to%20the%20ElGamal%20cryptosystem%20and%20elliptic%20curve%20cryptosystem.pdf Wong, Tze Jin and Md. Said, Mohamad Rushdan and Othman, Mohamed and Koo, Lee Feng (2014) A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem. In: 3rd International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12–14 Aug. 2014, Langkawi, Kedah. (pp. 256-259). http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4903592 10.1063/1.4903592
spellingShingle Wong, Tze Jin
Md. Said, Mohamad Rushdan
Othman, Mohamed
Koo, Lee Feng
A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem
title A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem
title_full A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem
title_fullStr A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem
title_full_unstemmed A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem
title_short A lucas based cryptosystem analog to the ElGamal cryptosystem and elliptic curve cryptosystem
title_sort lucas based cryptosystem analog to the elgamal cryptosystem and elliptic curve cryptosystem
url http://psasir.upm.edu.my/id/eprint/36176/
http://psasir.upm.edu.my/id/eprint/36176/
http://psasir.upm.edu.my/id/eprint/36176/
http://psasir.upm.edu.my/id/eprint/36176/1/A%20Lucas%20based%20cryptosystem%20analog%20to%20the%20ElGamal%20cryptosystem%20and%20elliptic%20curve%20cryptosystem.pdf