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theorydish.blog | ||
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blog.openmined.org
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| | | | | From the math and the hard problem behind most of today's homomorphic encryption scheme to implementing your own in python. | |
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rot256.dev
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| | | | | Introduction In this post we will take a look at the Fast Reed-Solomon IOP (FRI) proximity test, which enables an untrusted prover to convince a verifier that a committed vector is close to a Reed-Solomon codeword with communication only poly-logarithmic in the dimension of the code. This is readily used to construct practically efficient zkSNARKs from just cryptographic hash functions (rather random oracles), without the need for a trusted setup. | |
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www.jeremykun.com
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| | | | | So far on this blog we've given some introductory notes on a few kinds of algebraic structures in mathematics (most notably groups and rings, but also monoids). Fields are the next natural step in the progression. If the reader is comfortable with rings, then a field is extremely simple to describe: they're just commutative rings with 0 and 1, where every nonzero element has a multiplicative inverse. We'll give a list of all of the properties that go into this "simple" definition in a moment, but an even more simple way to describe a field is as a place where "arithmetic makes sense. | |
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thehighergeometer.wordpress.com
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| | | Here's a fun thing: if you want to generate a random finite $latex T_0$ space, instead select a random subset from $latex \mathbb{S}^n$, the $latex n$-fold power of the Sierpinski space $latex \mathbb{S}$, since every $latex T_0$ space embeds into some (arbitrary) product of copies of the Sierpinski space. (Recall that $latex \mathbb{S}$ has underlying... | ||