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#fundamentals

12 posts

19 Feb 2025

Matthew Green 16 min read

This is the third and penultimate post in a series about theoretical weaknesses in Fiat-Shamir as applied to proof systems. The first post is here, the second post is here, and you should probably read them. Over the past two posts I’ve given a bit of background on four subjects: (1) interactive proof systems (for … Continue reading How to…

attacksfundamentalscryptographymath

4 Feb 2025

Matthew Green 17 min read

Trigger warning: incredibly wonky theoretical cryptography post (written by a non-theorist)! Also, this will be in two parts. I plan to be back with some more thoughts on practical stuff, like cloud backup, in the near future. If you’ve read my blog over the years, you should understand that I have basically two obsessions. One … Continue reading How to…

fundamentalsblockchaincryptocurrencycryptography

30 Nov 2023

Matthew Green 30 min read

This post continues a long, wonky discussion of Schnorr signature schemes and the Dilithium post-quantum signature. You may want to start with Part 1. In the previous post I discussed the intuition behind Schnorr signatures, beginning with a high-level design rationale and ending with a concrete instantiation. As a reminder: our discussion began with this … Continue reading To Schnorr…

fundamentalspqc

6 Oct 2023

Matthew Green 27 min read

Warning: extremely wonky cryptography post. Also, possibly stupid and bound for nowhere. One of the hardest problems in applied cryptography (and perhaps all of computer science!) is explaining why our tools work the way they do. After all, we’ve been gifted an amazing basket of useful algorithms from those who came before us. Hence it’s … Continue reading To Schnorr…

fundamentals

11 May 2023

Matthew Green 15 min read

Back in March I was fortunate to spend several days visiting Brussels, where I had a chance to attend a panel on “chat control“: the new content scanning regime being considered by the EU Commission. Among various requirements, this proposed legislation would mandate that client-side scanning technology be incorporated into encrypted text messaging applications like … Continue reading On Ashton…

academicsbackdoorsfundamentalsprotocols

8 May 2023

Matthew Green 27 min read

A few weeks ago I ran into a conversation on Twitter about the weaknesses of applied cryptography textbooks, and how they tend to spend way too much time lecturing people about Feistel networks and the boring details of AES. Some of the folks in this conversation suggested that instead of these things, we should be … Continue reading PRFs, PRPs…

fundamentalsprovable security

9 Jun 2022

Matthew Green 20 min read

Last week a group of technologists, including Bruce Schneier, sent a letter to Congress outlining their concerns around cryptocurrency and urging Congress to regulate the space. Now let me be the first to say that I broadly support this goal. I have no problem with the idea of legislators (intelligently) passing laws to regulate cryptocurrency. … Continue reading In defense…

bitcoinfundamentals

5 Jan 2020

30 Jun 2016

Dave Cheney 2 min read

Long time readers of this blog will know that when I’m not shilling for the Go language, my hobbies include electronics and retro computing. For me, projects like James Newman’s Megaprocessor, a computer built entirely from discrete components, is about as good as it gets. James has recently finished construction of the Megaprocessor and has started […]

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27 Nov 2014

Matthew Green 18 min read

One of the best things about modern cryptography is the beautiful terminology. You could start any number of punk bands (or Tumblrs) named after cryptography terms like ‘hard-core predicate’, ‘trapdoor function’, ‘ or ‘impossible differential cryptanalysis’. And of course, I haven’t even mentioned the one term that surpasses all of these. That term is ‘zero knowledge‘. In … Continue reading…

fundamentals

21 Feb 2014

Matthew Green 15 min read

I have a thing for over-the-top cryptography headlines — mostly because I enjoy watching steam come out of researchers’ ears when their work gets totally misrepresented. And although I’ve seen quite a few good ones, last week WIRED managed a doozy. The headline in question, Cryptography Breakthrough Could Make Software Unhackable, managed to accomplish something that few … Continue reading…

fundamentals

19 Aug 2013

Matthew Green 9 min read

I’ve been traveling a bit over the past couple of weeks, so I haven’t had much of a chance to keep up on blogging. One consequence is that I completely missed my chance to say something about, well, anything that happened at BlackHat or Def Con. Which is too bad, since a surprising amount of … Continue reading Is the…

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