Due to phenomena like the ubiquity of the Internet and cloud computing, it is increasingly common to store and process data on third-party machines. In spite of its attractive aspects, this trend raises a number of security concerns, including: how to ensure that the results computed by third parties are correct (integrity) and no unauthorized information is leaked (privacy)? This talk discusses how modern cryptography can address these questions, and more specifically it focuses on the problem of integrity and the notion of homomorphic authentication. It presents this notion, gives an overview of the state of the art in this area, and covers some of the recent efficient constructions.
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