Public Key Cryptography for Mobile Payment

International Journal of Engineering Sciences & Research Technology, 2013

In this paper, we propose a detailed study of Elliptic Curve Cryptography Algorithm and its performance..ECC can be used with fewer keys to give more security, high speed in a less bandwidth. While these advantages make ECC propose for mobile devices, they can provide computational burden on secure web servers. In resource constrained system, Elliptic Curve Cryptography is a promising alternative for public algorithms, because it provides similar level of security with proposed shorter keys than conventional integer based public key algorithm. ECC over binary field is taken up with special interest because the operation in binary filed operation, are thought to be more in space and efficient in time. However, the software implementation of ECC over binary field are still slow, especially on low end processors, which are used in small computing devices such as sensors node, mobile phone, etc. This proposed paper, studied the Cryptography algorithms and software implementation of ECC. Firstly, while implementing ECC with software, the choice of some architectural parameters like word size may affect the choice of algorithms or not, has been examined. Also, identification of software for low-end processors has been done. In addition, this paper has examined several implements to the instruction that architecture of an 8 bit processor and studied their impact on the performance of ECC with other algorithms. ECC is well is well suited for high speeds, lower power consumption, bandwidth savings, storage efficiencies, smaller certificates and it reduces computational time and also the amount of data transmitted and stored, and strong security for low-power devices in wireless networks.

International Journal of Innovative Technology and Exploring Engineering, 2019

Cryptography is a mathematical science which permits only the authorized users to access the data. Today, it is necessary for our routine life to safeguard online data like credit card numbers, bank transactions, etc. Many cryptographic algorithm-based data security mechanisms have been introduced by various researchers for protecting the online / M-Commerce data. Even though, no data security algorithms achieved the required security level with less time. For overcoming these issues, we propose a new data security algorithm called Elliptic-Curve Cryptography and Diffie-Hellman based data security algorithm for securing the M-Commerce data. Here, the key size of the Elliptic Curve Cryptography is less than RSA that will be helpful to improve the efficiency and reduce the storage space. This algorithm is able to establish a secure session key through a server over an insecure channel and also handle various illegitimate users. In addition, this new algorithm is more secure, efficient...

International Journal of Information Security and Privacy, 2012

The authors propose a Secure and Optimized Mobile based Merchant Payment (SOMMP) Protocol using Signcryption scheme with Forward Secrecy (SFS) based on elliptic curve which consumes less computational and communication cost. In SOMMP client sends message in the form of TransCertC (Transaction Certificate) which is a X.509 SLC (X.509 Short Lived Certificate) thereby reducing the client interactions with the engaging parties thereby reducing the consumption of resources (from Client’s perspective) which are very scarce in Resource Constrained Devices like Mobile Phones. In SOMMP protocol WSLC (WPKI Short Lived Certificate) eliminates the need of certificates validation and removes the hurdle of PKI thereby reducing storage space, communication cost and computational cost. Their proposed SOMMP ensures Authentication, Integrity, Confidentiality and Non Repudiation, achieves Identity protection from merchant and Eavesdropper, achieves Transaction privacy from Eavesdropper and Payment Gat...

Public key cryptography is typically used in the field of mathematical, which consist of factors decomposition problem of huge numbers and discrete logarithm problem in finite field. For huge numbers in public key cryptography, factors decomposition problems RSA cryptography is generally used, but in the field of hardware and high-performance computing technology RSA has encountered some difficulties. To overcome such type of difficulties the elliptic curve discrete logarithm is introduced, which provides advantages, whose public key is short, network bandwidth is small and ability to defend against to attack is strong. This paper presents the design principles of elliptic curve public key cryptography, Authentication, Encryption and Decryption with shorter key of RSA.

The explosive growth in the use of mobile and wireless devices demands a new generation of PKC schemes that has to accommodate limitations on power and bandwidth, at the same time, to provide an adequate level of security for such devices. This paper examines the use of ECC in such constrained environments and discusses the basis of its security, explores its performance and lastly, surveys the use of ECC applications on the market today.

JOURNAL OF APPLIED …, 2006

This paper provides an overview of elliptic curves and their use in cryptography. The focus of the paper is on the performance advantages obtained in the wireless environments by using elliptic curve cryptography instead of traditional cryptosystems such as RSA. Specific applications to secure messaging and identity-based encryption are also discussed.

2015

The point of this paper is to create a basis for apply efficient encryption schemes in wireless communications and in devices with low computing power and resources. Elliptic Curve Cryptography (ECC) fits well for an efficient and secure encryption scheme. It is more efficient than the traditional integer based RSA schemes because ECC utilizes smaller key sizes for equivalent security. A comparative study of ECC with RSA is made in terms of key size, computational power, size of data files and encrypted files. Also, another aim is to design an API to implement ECC encryption /decryption algorithm.

Mobile user authentication is an essential topic to consider in the current communications technology due to greater deployment of handheld devices and advanced technologies. Memon et al. recently proposed an efficient and secure two-factor authentication protocol for location-based services using asymmetric key cryptography. Unlike their claims, the vigilant analysis of this paper substantiates that Memon et al.'s protocol has quite a few limitations such as vulnerability to key compromised impersonation attack, insecure password changing phase, imperfect mutual authentication, and vulnerability to insider attack. Furthermore, this paper proposes an enhanced secure authentication protocol for roaming services on elliptic curve cryptography. The proposed protocol is also a two-factor authentication protocol and is suitable for practical applications due to the composition of lightweight operations. The proposed protocol's formal security is verified using Automated Validation of Internet Security Protocols and Applications tool to certify that the proposed protocol is free from security threats. The informal and formal security analyses along with the performance analysis sections determine that the proposed protocol performs better than Memon et al.'s protocol and other related protocols in terms of security and efficiency.

International Journal of Electrical and Computer Engineering (IJECE), 2011

The paper presents an extensive and careful study of elliptic curve cryptography (ECC) and its applications. This paper also discuss the arithmetic involved in elliptic curve and how these curve operations is crucial in determining the performance of cryptographic systems. It also presents different forms of elliptic curve in various coordinate system , specifying which is most widely used and why. It also explains how isogenenies between elliptic curve provides the secure ECC. Exentended form of elliptic curve i.e hyperelliptic curve has been presented here with its pros and cons. Performance of ECC and HEC is also discussed based on scalar multiplication and DLP.

Journal of ICT Standardization

In today’s digital world, the Internet is an essential component of communication networks. It provides a platform for quickly exchanging information among communicating parties. There is a risk of unauthorized persons gaining access to our sensitive information while it is being transmitted. Cryptography is one of the most effective and efficient strategies for protecting our data and it are utilized all around the world. The efficiency of a cryptography algorithm is determined by a number of parameters, one of which is the length of the key. For cryptography, key (public/private) is an essential part. To provide robust security, RSA takes larger key size. If we use larger key size, the processing performance will be slowed. As a result, processing speed will decrease and memory consumption will increase. Due to this, cryptographic algorithms with smaller key size and higher security are becoming more popular. Out of the cryptographic algorithms, Elliptic Curve Cryptography (ECC) p...