diff --git a/_posts/2025-11-30-instant-messaging.md b/_posts/2025-11-30-instant-messaging.md new file mode 100644 index 0000000..8d555ea --- /dev/null +++ b/_posts/2025-11-30-instant-messaging.md @@ -0,0 +1,36 @@ +--- +title: "Instant Messaging apps: an overview of Discord, Signal and Matrix" +--- + +As part of [4IZ110](https://4iz110.vse.cz/) at my bachelor's programme at the Prague University of Business and Economics, I chose the topic of Instant Messaging for my term paper. In it, I wanted to focus on three distinct approaches to instant messaging today: + +- Centralized without E2EE, where I chose Discord as a well-known example +- Centralized with E2EE: this was represented by the Signal protocol, which powers apps like Signal, WhatsApp or Messenger +- Decentralized with E2EE: the example given in the term paper is the federated Matrix protocol + +I chose to focus mainly on the encryption and data formats behind these protocols, as I thought the three would make an interesting comparison. Learning about how Signal does key derivation and how it can guarantee both forward secrecy and post-compromise security, my mind was truly boggled (in other words, I learned a lot). + +You can find the thesis as PDF [in Czech] [here](/static/Instant%20Messaging.pdf). + +The scope of the paper sadly limited the space to dive too deep into all of the protocols, but I was at least glad I was able to connect instant messaging with my love for PQ cryptography – not only was I able to talk about PQXDH, the quantum-resistant key agreement protocol we briefly touched on [more than 2 years back](/hello-internet/), but as it turns out, there is a new way the brilliant engineers behind the Signal messenger created to make messaging even more complex. + +## Addendum 1: The Triple Ratchet + +As Signal outlined in [their blog post](https://signal.org/blog/spqr/) from early October, PQXDH is cool 'n all, but does not address the full scope of post-quantum cryptographic problems with the Signal protocol: one of its core guarantees, post-compromise security, can be broken if the attacker can break ECDH. + +The team designed a way to use the ML-KEM 768 standard with a concept of epochs, where each epoch between Alice and Bob (our two chatty friends) starts when they agree on a shared secret and mix it into their conversation's encryption key. This shared secret is based on Alice's asymmetric keypair and Bob's generated secret. Whenever a new epoch starts, the protocol guarantees both forward secrecy (no one who compromises the conversation today can decrypt messages from the last epoch) and post-compromise security (compromising the keys of one side of the conversation today will not help you decrypt the next epoch). + +The Sparse Post-Quantum Ratchet, as the team calls it, offers two very important attributes: + +- At least as secure as double ratcheting: the SPQR is an additional ratcheting mechanism running besides the Double Ratchet. Keys from both ratchets are then mixed together with a KDF so that they don't accidentally create a big security hole in their messaging app with a new encryption scheme +- The per-message key material size isn't much different from the Diffie-Hellman ratchet of 32 bytes per message [^1]. The 1184 bytes for the initial encapsulation key are not sent all at once by Alice, but in chunks, each delivered with every message to Bob. + - The chunks are split using Reed–Solomon erasure codes, which guarantee that if you need `n` chunks to construct the entire ML-KEM EK, you can do so with _any_ `n` chunks from a chunk stream, no matter the order or whether the stream is continuous. The same goes for sharing the resulting ciphertext from Bob back to Alice. + +The algorithm is also optimized for efficiency: sharing a large key chunk-by-chunk is a very one-sided operation, so the Signal team took advantage of how ML-KEM keys are structured: because most bytes of the large key are just used for describing the lattice structure of the key, we can initially just send a small portion (a 32 byte seed for our lattice space generation and a 32 byte hash of `EK`) for the other side to be able to construct the majority of the final ciphertext (`CT`), so that we can start doing ping-pong earlier (and conversely, get a shared secret sooner and start more epochs more often). + +The Signal team is rolling this out to conversations in their messenger app right now, and will start working when both devices have an up-to-date version of Signal[^2]. + +## Footnotes + +[^1]: The encapsulation key size of ML-KEM reaching over a kilobyte has been a problem ever since the KEX algorithm was first introduced into the networking stack: because these keys do not fit into a single packet, they've caused incompatible servers to fail quantum-secure connections. This problem even has a [website](https://tldr.fail/)! +[^2]: Although the SPQR was introduced in [libsignal v0.74.0](https://github.com/signalapp/libsignal/releases/tag/v0.74.0) in early June, it started rolling out some time after [August 20](https://github.com/signalapp/Signal-iOS/commit/636875907b3325746ae9aef19cfdc4f4a7d02298). diff --git a/static/Instant Messaging.pdf b/static/Instant Messaging.pdf new file mode 100644 index 0000000000000000000000000000000000000000..09d7af8f946d2209cdded7d20e3357da552b8cb3 GIT binary patch literal 1036378 zcmY!laB1w(Taa}#rYKLsO0{Sc6}shOFvzK24zf{BHNf~l!_teqWiYF-M+ zI0YEsH8eCcMA+eynw+1K8jx6&TWn*a@0_1gnwwXwV5%Qbl$w&6T#{d;U}$7#r|*`T zQ<7Sw@0OETk_yqH@97e4<6>&$V(DV)=4xi?>||hK?BrzNYGh&T>gZeCi+47`6ZxW0Qn?HKRB~0Rl(5E+)O{DvLIDIA}BRY zKRnt{!C1jC*3PcDq$o8pmzOK!UQ$v@fqH)Q2bEyEh!*xU=a@EIHmW>c zzEt7cb9;rdzf1zRUBo>8b#tU8B&8%gWSxEBfCuX*`@{FY=rb^~F|0etBM%BzsJYMp zE-pzdDyb++P2)A-RaJHMcjJYHxPk(&p`p1cBFvo?%nU5C2C0IXu_4UMCT2$Z{tBj+ z#`?huCWgi+{zynjU|J-~bB2dUrk2NvheP4WfkOxQj>za+L{zA08X4$(PkyQ|@axc7 z#g9uLhB?=tyC|-6Pq$v~Cg&8{zQp_!ITyoLu*^CnQ0A!8Udny=Zrh7%mo07e!_Unz zRAx-Nw@-_&_e)KrSlZF^*FVo(JHtXmNX(+@%AboT9#mhrbV%vazs8drUA>eX5;?ie z+1u6rFTUo+H?`+j+pTdem=K+HHDP;+divDd_*txdx ztmEIqOzwViyq;}8*Y@gYadCOS*}2ogMj~j&E0z)!CJDa{e=a@@2uYdq!MVbDvGI(k z9TQq39e*5VS?25$!^bBrC1E8c;bUcGB_YuuaUzX%leC16gOZFaPm`Pio3V%0B4)Ry zt7Z&K8(Y|f`WtxZA@qY}&8?F(m|3Ov@p^Gf1}^LnOCw*{$_8%k`M>r<>IJY%X# zG>i%5XZ}CaS0I$5=&BTZ1mlO4HOIw&A@>GDgpEJ zN4h#{yDG6Bih+35!q#NBAdYr6z++^UMY5Hv^UVL3Va_cKSj2AlnrT^dXS}aci-HfqqD0QZdNapz;kA zZz#bHaw9akU@55GGK-2q{a64zf?FE6{q@E+u(((FKL%h$S7JGd?I?x%S`?|Al@rABj&(RD~xx zic8gaYfj*vVG^{FU;c;1>TkEd80dv{uelc$Hr@Z*H!+sO)^+hyc9)!XXIA_1Xv6lJ zPcij#u4m@{)Jko-Qm21?+nG;ici+7AtTasi-e>mRCs*yV*(1HCJO7*QeEYZGqjxhK zem;>Fu=c}omnQzYoM|_A)ulA5|IoNwzv)Vs2KdV3U zUTn$6lG|+aj;ELIIvdtp!`%Mx<9V}K=Q5oMfAnh07J8{N*{y&3PFrF}v!lF3{>-

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