Elliptic Curve Cryptography for Digital Signature Authentication: Algorithm for Banking Applications

Elliptic curve cryptosystem provides greater security for any key size, when compared to integer factorization and discrete logarithm system. Generally in digital signature scheme, signature (r, s) along with message will be sent to the receiver but in this approach, signature alone is sent and message will be recovered from signature. This project deals with implementation of knapsack based Elliptic Curve Cryptography (ECC) for digital signature authentication with message recovery. The strength of knapsack algorithm depends on the selection of the knapsack series. Stern series which reduces the time complexity of the existing system has been analyzed and it gives better results. In this approach, knapsack series alone can be kept secret, but in RSA various domain parameters need to be kept secret. In Mobile banking, secure transmission of ATM pin number is possible with help of ECC banking module which will be in both bank server and mobile phone of the customer. It provides high level of security when compared to postal communication. This proposed algorithm is secure against the current attacking mechanisms like key only attacks and message attacks