• A ONE TO ONE CORRESPONDENCE IN ELLIPTIC CURVE CRYPTOGRAPHY

Abstract

Cryptography is the study of methods of sending messages in disguised from so that only the intended recipients can remove the disguise and the read the message. The first step in inventing a cryptosystem is to “label” all possible plaintext message units and all possible cipher text message units by means of mathematical objects are often simply the integers in some range. In some situations, one might want to label message units using other mathematical objects besides integers-for example, vectors or points on some curve.  In this paper we proposed a one-to-one function from ASCII characters to the plain text, which is a challenging task in recent research work.