Simulation of ECC over binary field

Masuri, Nur-Suhada (2017) Simulation of ECC over binary field. Project Report. Melaka, Malaysia, Universiti Teknikal Malaysia Melaka. (Submitted)

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Abstract

Elliptic Curve Cryptography (ECC) is a method of public key cryptography, which develop by Diffie Hellman. The Diffie-Hellman key exchange protocol and the Digital Signature Algorithm (DSA) based on it, is an asymmetric cryptographic system used today. Elliptic curves over the real numbers on the axis xy plot. Traditionally, the ECC is one of key areas textbooks fifty years modulo primes. However, the most practical binary field ECC taken modulo a polynomial can be reduced. Nowadays, it is mainly used in resource-constrained environments, such as wireless networks and ad-hoc mobile networks. By 2000, there is a tendency that the conventional public key cryptography system, especially the RSA-based system, gradually replaced by ECC system. However, today other cryptographic NTRU contender makes its way into the mainstream market. The problem statement of this project are the numbers that will be calculated usually a limited numbers, the calculation on ECC over binary field before this is still in manually managed by user and user can compute only a small numbers to calculate ECC over binary field. The objectives of this project are to generate random numbers during calculation, to build and develop a system to calculate ECC over binary field for user and to enable the user to calculate or compute large numbers on ECC over binary field. The methodology used for this project is V-Shaped model which consists the process of requirements or analysis, design, implementation, testing and maintenance. The significant contribution of this project is to simplify and improve the efficiency of the simulation ECC on binary field, minimize manual data entry and ensure data accuracy and security during calculation process.

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