A Discussion on Elliptic Curve Cryptography and Its Applications
Elliptic curve cryptography (ECC) is a kind of public key cryptosystem like RSA. But it differs from RSA in its quicker evolving capacity and by providing attractive and alternative way to researchers of cryptographic algorithm. The security level which is given by RSA can be provided even by smaller keys of ECC (for example, a 160 bit ECC has roughly the same security strength as 1024 bit RSA). In this paper, we will present some ECC algorithms and also gives mathematical explanations on the working of these algorithms.
Keywords: Elliptic Curve, cryptography, cryptosystem, RSA.
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ABOUT THE AUTHORS
Sharad Kumar Verma
Sharad Kumar Verma, received his Bachelor of computer application (BCA) degree from MCRPV, Bhopal(MP), INDIA in 2004, Master of computer application (MCA) degree from UPTU Lucknow(UP), INDIA in 2007, and currently pursuing Ph.D in computer science (Network Security) from MEWAR University, Rajasthan, INDIA. He has more than three years of teaching experience in Meerut Institute of Engineering & Technology, Meerut (UP) INDIA. He is the author/co-author of more than 5 publications in reputed journals. The research fields of interest are Coding Theory and Time Synchronization in Wireless network.
D. B. Ojha
Dr. Deo Brat Ojha, Birth Place & date –Bokaro Steel City, (Jharkhand), INDIA on 05/07/1975. Ph.D from Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi (U.P.), INDIA in 2004. The degree field is Optimization Techniques In Mathematical Programming. The major field of study is Functional Analysis. He has more than seven year teaching experience as PROFESSOR & more than eight year research experience. . He is working at MEWAR Institute of Technology, Ghaziabad (U.P.), INDIA. He is the author/co-author of more than 50 publications in technical journals and conferences.
Sharad Kumar Verma
Sharad Kumar Verma, received his Bachelor of computer application (BCA) degree from MCRPV, Bhopal(MP), INDIA in 2004, Master of computer application (MCA) degree from UPTU Lucknow(UP), INDIA in 2007, and currently pursuing Ph.D in computer science (Network Security) from MEWAR University, Rajasthan, INDIA. He has more than three years of teaching experience in Meerut Institute of Engineering & Technology, Meerut (UP) INDIA. He is the author/co-author of more than 5 publications in reputed journals. The research fields of interest are Coding Theory and Time Synchronization in Wireless network.
D. B. Ojha
Dr. Deo Brat Ojha, Birth Place & date –Bokaro Steel City, (Jharkhand), INDIA on 05/07/1975. Ph.D from Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi (U.P.), INDIA in 2004. The degree field is Optimization Techniques In Mathematical Programming. The major field of study is Functional Analysis. He has more than seven year teaching experience as PROFESSOR & more than eight year research experience. . He is working at MEWAR Institute of Technology, Ghaziabad (U.P.), INDIA. He is the author/co-author of more than 50 publications in technical journals and conferences.
