Title: Elliptic curve based authenticated encryption scheme and its application for electronic payment system

Authors: Rajeev Kumar; S.K. Pal; Arvind Yadav

Addresses: Dyal Singh College, University of Delhi, Delhi, India ' Scientific Analysis Group, Defence R&D Organization, Delhi, India ' Hansraj College, University of Delhi, Delhi, India

Abstract: The use of e-payment system for e-commerce is making our day to day life more easy and convenient. In existing e-payment schemes, there are a number of security and efficiency issues to be addressed. To address such issues Yang et al. (2013) proposed an authenticated encryption scheme and an e-payment system based on this encryption scheme. Their scheme excluded the need of digital signature for authentication. They claimed that the computation costs can be greatly reduced. But recently Chaudhry et al. (2015) exposed the weaknesses of Yang et al.'s (2013) scheme. To overcome the weaknesses of Yang et al.'s (2013) scheme, they proposed improved authenticated encryption and e-payment schemes. However, our analysis shows that there are few security issues in their scheme. Direct use of private key in product with standard key size gives an opportunity to adversary. Based on these observations we propose an improved scheme for authenticated encryption. We also propose e-payment system using our encryption scheme. We give the security proof and performance analysis of our scheme.

Keywords: authenticated encryption; elliptic curve; electronic payment system; elliptic curve cryptography.

DOI: 10.1504/IJCSM.2018.090727

International Journal of Computing Science and Mathematics, 2018 Vol.9 No.1, pp.90 - 101

Received: 17 Jan 2017
Accepted: 29 May 2017

Published online: 27 Mar 2018 *

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