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| | windowsontheory.org
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| | Guest post by Boaz Barak and Zvika Brakerski (part 2) In the previous post, we demonstrated the versatility of fully homomorphic encryption and its applicability for multiple applications. In this post we will demonstrate (not too painfully, we hope) how fully homomorphic encryption is constructed. Our goal is to present the simplest solution that (we...
| | blog.demofox.org
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| | Homomorphic encryption is a pretty interesting thing. It allows you to do calculations on encrypted data such that when you decrypt the results, it's as if you did the calculations on the unencrypted data. This allows computation to happen without the person doing the computation knowing what the data actually is! Brief History For a...
| | rog3rsm1th.github.io
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| | The Okamoto-Uchiyama cryptosystem is a semantically secure, asymmetric encryption algorithm. It was first introduced in 1998 by Tatsuaki Okamoto and Shigenori Uchiyama. The method is additive-homomorphic, which means that the plaintexts are added by multiplying two ciphertexts. It is therefore not necessary to decrypt the ciphertexts in order to be able to operate on the plaintexts. While searching for implementations of this algorithm on github, I realized that there were only two rough implementations.
| | www.jeremykun.com
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| This article was written by my colleague, Cathie Yun. Cathie is an applied cryptographer and security engineer, currently working with me to make fully homomorphic encryption a reality at Google. She's also done a lot of cool stuff with zero knowledge proofs. In previous articles, we've discussed techniques used in Fully Homomorphic Encryption (FHE) schemes. The basis for many FHE schemes, as well as other privacy-preserving protocols, is the Learning With Errors (LWE) problem.