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www.craigstuntz.com
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The Learning With Errors problem is the basis of a few cryptosystems, and a foundation for many fully homomorphic encryption (FHE) schemes. In this article I'll describe a technique used in some of these schemes called modulus switching. In brief, an LWE sample is a vector of values in $\mathbb{Z}/q\mathbb{Z}$ for some $q$, and in...
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| | binarydebt.wordpress.com

A key function of digital singatures is to ensure that the sender of a message is who he claims to be. In this post we will go in a step by step manner and cover the concepts behind digital certificates in simple terms. Consider two people named Alice and Bob sitting in front of their...
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| | blog.cryptographyengineering.com

Craig Gentry on board the mothership. (credit) A couple of weeks ago I polled readers for the subjects that they were interested in. You gave me some excellent responses, and I promise they're all in the hopper. By far the most popular requestwas for some background on the recent results incomputing on encrypted data, or...
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| | www.imperialviolet.org

[AI summary] An in-depth technical explanation of elliptic curve cryptography, covering mathematical foundations, group structures, implementation challenges, and optimization techniques for finite field arithmetic.
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