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Curve based cryptography are preferred for embedded hardware since they require shorter operand size than RSA to attain the same security level. So ECC and HECC are more suitable in constrained environment such as smart cards if we can select suitable curves and efficient scalar multiplication technique to speed up arithmetic on the curve. With this in view, this paper explores in details the main operations like scalar multiplication, group operations on Jacobian, finite field operations etc which are the prime steps for efficient implementation of ECC / HECC. We also have compared the timings of main operations like scalar multiplication, encryption and decryption of Elliptic and Hyperelliptic curve cryptosystems to study the relative performance of these cryptosystems.

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Day by day users has been adopting remote storage system due to its secure service. But some time it may possible that people comes to know what security policy has been applied in server side. As the result, new security risks and attacks are coming in cloud. So, it is necessary to provide more secured and updated authentication scheme. For any cloud application, in which personal or private information are exchanged, single-tier authentication is not sufficient for authentication. In above situation, multi-tier authentication scheme is much more secured than single-tier authentication scheme. In computing environment, there are various multitier authentication schemes, but they do not provide security against insider attacks and virtualization attacks. In cloud environment, whole authentication control lies in the server side. So, it is hard to trust the third party server in cloud system. This paper proposes a secured and more advanced multi-tier authentication scheme for accessing cloud services.

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