Abstract
Elliptic Curve cryptography is a public key cryptographic system where the message is encrypted using private key of sender and decryption is done using senders public key and the receiver's private key. This paper introduces a new mapping technique for encoding the message into affine points on the elliptic curve. Mapping technique convert the plain text into ASCII values and then convert this into HEXADECIMAL. The converted Hex values are grouped together to form the x and y coordinates. The converted values are encrypted in reverse order to prevent security attacks. This method reduce the overhead of common look up table shared between the sender and the receiver. Also it avoids the extra padding bits when group count is odd, which can be considered as NULL values.
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