Abstract
In this paper, we mathematically associate Crypto Cloud Computing, that has become an emerging research area, with Cooperative Game Theory in the presence of uncertainty. In the sequel, we retrieve data from the database of Amazon Web Service. The joint view upon Crypto Cloud Computing, Cooperative Game Theory and Uncertainty management is a novel approach. For this purpose, we construct a cooperative interval game model and apply this model to Social Networks. Then, we suggest some interval solutions related with the model by proposing a novel elliptic curve public key encryption scheme over finite fields having the property of semantic security. The paper ends with concluding words and an outlook to future studies.
Highlights
In the last decays, social networks have been a very important structure for users who are interconnecting through a variety of relations
We propose a novel public key scheme by using elliptic curves over finite fields which fulfills the property of semantic security
We suggest some interval solutions related with the model by proposing a novel elliptic curve public key encryption scheme over finite fields having the property of semantic security
Summary
Social networks have been a very important structure for users who are interconnecting through a variety of relations. Cooperative game theory, cloud computing, elliptic curves, social networks, uncertainty, interval solutions. We propose a novel public key scheme by using elliptic curves over finite fields which fulfills the property of semantic security. The cost of the proposed scheme varies depending on the models of elliptic curves and the type of coordinate systems. We suggest some interval solutions related with the model by proposing a novel elliptic curve public key encryption scheme over finite fields having the property of semantic security. The computational costs of novel scheme just depend on the point multiplication of elliptic curves. The costs of proposed scheme vary depending on the forms of elliptic curves and the coordinate systems. E is not able to find whether the ciphertext c is the encryption of m1 or m2 with a probability non-negligibly larger than 1/2
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