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A Math Primer for Gentry's Fully Homomorphic Encryption A couple of weeks ago, I wrote What Is Homomorphic Encryption, and Why Should I Care? In that post, I promised to share my C# implementation of the algorithm from Craig Gentry's CACM article. Before I can do that, though, I need to explain some of the math involved. Perhaps surprisingly, it's actually very simple. (I say "surprisingly" because much of the math and technical papers on encryption is decidedly not simple, including that of Gentry's first fully homomorphic scheme, which was based...
What is Homomorphic Encryption, and Why Should I Care? The March 2010 issue of the Communications of the ACM includes a technical paper with an introduction entitled "A First Glance of Cryptography's Holy Grail" (ACM subscription required). That's enough to catch my attention. The paper itself, Computing Arbitrary Functions of Encrypted Data, describes a relatively new algorithm for homomorphic encryption. Although these words may be unfamiliar to many, the subject matter is terribly important, because, like public-key encryption, which paved the...
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