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Outsourced computations (where a client requests a server to perform some computation on its behalf) are becoming increasingly important due to the rise of Cloud Computing and the proliferation of mobile devices. Since cloud providers may not be trusted, a crucial problem is the verification of the integrity and correctness of such computation, possibly in a public way, i.e., the result of a computation can be verified by any third party, and requires no secret key - akin to a digital signature on a message. The authors present new protocols for publicly verifiable secure outsourcing of Evaluation of High Degree Polynomials and Matrix Multiplication. Compared to previously proposed solutions, they improve in efficiency and offer security in a stronger model.
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