**Post: #1**

ABSTRACT

The main objective of our Project is to show that Elliptical Curve Cryptography is better than RSA. Which means than the ECC maintains a constant key size regarding the amount of data transferred i.e. the key size will be constant where as in RSA key size varies with increase in transfer of data. By having this type of properties this algorithm can be used in different applications efficiently. This algorithm is widely applicable to the huge organizations like military. As in the military network large amounts of very sensitive data has to be transferred, for it to happen very efficient cryptography has to be used. The different groups in the military are successfully using the ECC algorithm for secure transmissions.

The Elliptical Curve Cryptography (ECC) is a public key cryptography, which contains a pair of keys both a public key and a private key and a set of operations associated with the keys to do the cryptographic operations.

The algorithm consists of encryption and decryption process. When the data is transferred it must be encrypted by using some techniques of encryption process and after sending the data it must be received that will be the receiving end, where the data should be decrypted. The decryption will be done by using the private key. All the data that is transferred will be done in a systematic way all the facilities will be provided in sequence by following a particular order. Both ECC and RSA provide equivalent security but differ in using key sizes. ECC uses smaller key compared to RSA.

Finally the project mainly deals about the comparison between ECC and RSA with the key size as the main point. Here we explained the problem by taking an example of a military organization, where the information is to be very sensitive and different levels of security is also implemented using Elliptical Curve Cryptography.