IntroductionI know we usually blackbox pairings calling them moonmath and putting e(dot,dot) instead. But enough is enough. This article explains the math behind pairings. It relies on the course on ECC led by Matan Prasma and organized by PSE and Carlos in particular. How to read: the article consists of two parts: prerequisites and pairings. It might make sense to go to the section “Pairings” be surprised and then come back to the prerequisites but maybe you know better. All the proofs are ...

IntroductionI know we usually blackbox pairings calling them moonmath and putting e(dot,dot) instead. But enough is enough. This article explains the math behind pairings. It relies on the course on ECC led by Matan Prasma and organized by PSE and Carlos in particular. How to read: the article consists of two parts: prerequisites and pairings. It might make sense to go to the section “Pairings” be surprised and then come back to the prerequisites but maybe you know better. All the proofs are ...

Disclaimer: This write up introduces some basic tricks and definitions that one will bump into while trying to learn Plonk. This article is neither precise nor exhaustive. Its objective is to provide some intuition for those jumping onto Plonk and some fun for those who love math. Is it an ELI5 article?Lagrange interpolationThe idea of Lagrange interpolation is that, taking a number of points, one can reconstruct the polynomial passing through all of these points. In particular, first we cons...

Disclaimer: This write up introduces some basic tricks and definitions that one will bump into while trying to learn Plonk. This article is neither precise nor exhaustive. Its objective is to provide some intuition for those jumping onto Plonk and some fun for those who love math. Is it an ELI5 article?Lagrange interpolationThe idea of Lagrange interpolation is that, taking a number of points, one can reconstruct the polynomial passing through all of these points. In particular, first we cons...

This last Polynya's blog post is strong, painful, and mostly very close to the truth. https://polynya.mirror.xyz/ptscXuh3J3KOj2uJAn0vrEanpn2nauwA7iytYZ4cM9U The one-liner summary of my answer is "we should take the responsibility for this shift right now" Below are more thoughts around the topic and if it resonates with you – feel free to reach out I say something :) I agree in many things: > "It’s the same story every time - there’s some grandiose narrative for what’s nothing more than ...

This last Polynya's blog post is strong, painful, and mostly very close to the truth. https://polynya.mirror.xyz/ptscXuh3J3KOj2uJAn0vrEanpn2nauwA7iytYZ4cM9U The one-liner summary of my answer is "we should take the responsibility for this shift right now" Below are more thoughts around the topic and if it resonates with you – feel free to reach out I say something :) I agree in many things: > "It’s the same story every time - there’s some grandiose narrative for what’s nothing more than ...