International Journal of Advances in Science, Engineering and Technology(IJASEAT)
.
Follow Us On :
current issues
Volume-9,Issue-2  ( Apr, 2021 )
Statistics report
Sep
Submitted Papers : 80
Accepted Papers : 10
Rejected Papers : 70
Acc. Perc : 12%
  Journal Paper


Paper Title :
Role of Finite Fields in Elliptic Curve Cryptography:

Author :S.Vasundhara

Article Citation :S.Vasundhara , (2016 ) " Role of Finite Fields in Elliptic Curve Cryptography: " , International Journal of Advances in Science, Engineering and Technology(IJASEAT) , pp. 112-116, Volume-4,Issue-4, Spl. Iss-1

Abstract : In this paper we constructed the finite field of order 36 and the role of this finite field in Elliptic curve cryptography. Public key cryptography systems are based on sound mathematical foundations that are designed to make the problem hard for an intruder to break into the system. Number theory and algebraic geometry, namely the theory of elliptic curves defined over finite fields, has found applications in cryptology. The basic reason for this is that elliptic curves over finite fields provide an inexhaustible supply of finite abelian groups which, even when large, are amenable to computation because of their rich structure. The first level is the mathematical background concerning the needed tools from algebraic geometry and arithmetic. This paper introduces the elementary algebraic structures and the basic facts on number theory in finite fields. It includes the minimal amount of mathematical background necessary to understand the applications to cryptology. Elliptic curves are intimately Key words- Elliptic curves Cryptography, binary field, finite fields.

Type : Research paper

Published : Volume-4,Issue-4, Spl. Iss-1


DOIONLINE NO - IJASEAT-IRAJ-DOIONLINE-6260   View Here

Copyright: © Institute of Research and Journals

| PDF |
Viewed - 39
| Published on 2016-12-16
   
   
IRAJ Other Journals
IJASEAT updates
Volume-9,Issue-2(April, 2020)
The Conference World

JOURNAL SUPPORTED BY