Should you encrypt or compress first?
Tags: security, crypto
Published: 2017-01-17 21:27:27

---
title: "Should you encrypt or compress first?"
published: true
description: Answering the classic security interview question
tags:  security, crypto
---
Imagine this:

You work for a big company. Your job is pretty boring. Frankly, your talents are wasted writing boilerplate code for an application whose only users are three people in accounting who can't stand the sight of you.

Your real passion is security. You read [r/netsec](https://www.reddit.com/r/netsec) every day and participate in bug bounties after work. For the past three months, you've been playing a baroque stock trading game that you're winning because you found a heap-based buffer overflow and wrote some AVR shellcode to help you pick stocks.

Everything changes when you discover that what you had thought was a video game was actually a cleverly disguised recruitment tool. Mont Piper, the best security consultancy in the world, is hiring &mdash; and you just landed an interview!

A plane ride and an Uber later, you're sitting across from your potential future boss: a slightly sweaty hacker named Gary in a Norwegian metal band t-shirt and sunglasses he refuses to take off indoors.

You blast through the first part of the interview. You give a great explanation of the difference between privacy and anonymity. You describe the same origin policy in great detail, and give three ways an attacker can get around it. You even whiteboard the intricacies of `__fastcall` vs `__stdcall`. Finally, you're at the penultimate section, protocol security.

Gary looks you in the eyes and says: "You're designing a network protocol. Do you compress the data and then encrypt it, or do you encrypt and then compress?" And then he clasps his hands together and smiles to himself.

A classic security interview question!

- - -

Take a second and think about it. 

At a high level, compression tries to use patterns in data in order to reduce its size. Encryption tries to shuffle data in such a way that without the key, you can't find any patterns in the data at all. 

Encryption produces output that appears random: a jumble of bits with a lot of entropy. Compression doesn't really work on data that appears random &mdash; entropy can actually be thought of as a measure of how "compressable" some data is.

So if you encrypt first, your compression will be useless. The answer must be to compress first! Even StackOverflow [thinks so](http://stackoverflow.com/questions/4676095/when-compressing-and-encrypting-should-i-compress-first-or-encrypt-first).

- - -

You start to say this to Gary, but you stop mid-sentence. An attacker sniffing encrypted traffic doesn't get much information, but they do get to learn the length of messages. If they can somehow use that to learn more information about the message, maybe they can foil the encryption.

You start explaining this to Gary, and he interrupts you &mdash; "Oh you mean like the [CRIME](https://www.nccgroup.trust/us/about-us/newsroom-and-events/blog/2012/september/details-on-the-crime-attack/) attack?"

"Yes!" you reply. You start to recall the details of it. All the SSL attacks with catchy names are mixed together in your mind, but you're pretty sure that's the one. They controlled some information that was being returned by the server, and used that to generate guesses for a secret token present in the response. The response was compressed in such a way that you could validate guesses for the secret by seeing how you affected the length of the compressed message. If the secret was `AAAA` and you guessed `AAAA`, the compressed-then-encrypted response will be shorter than if you guessed `BBBB`.

Gary looks impressed. "But what if the attacker can't control any of the plaintext in any way? Is this kind of attack still possible?" he asks.

- - -

CRIME was a very cool demonstration of how compress-then-encrypt isn't always the right decision, but my favorite compress-then-encrypt attack was published a year earlier by Andrew M. White, Austin R. Matthews, Kevin Z. Snow, and Fabian Monrose. The paper [Phonotactic Reconstruction of Encrypted VoIP Conversations](http://www.cs.unc.edu/~fabian/papers/foniks-oak11.pdf) gives a technique for reconstructing speech from an encrypted VoIP call.

Basically, the idea is this: VoIP compression isn't going to be a generic audio compression algorithm, because we can rely on some assumptions about human speech in order to compress more efficiently. From the paper:

> Many modern speech codecs are based on variants of a well-known speech coding scheme known as code-excited linear prediction (CELP) [49], which is in turn based on the source-filter model of speech prediction. The source-filter model separates the audio into two signals: the excitation or source signal, as produced by the vocal cords, and the shape or filter signal, which models the shaping of the sound performed by the vocal tract. This allows for differentiation of phonemes; for instance, vowels have a periodic excitation signal while fricatives (such as the [sh] and [f] sounds) have an excitation signal similar to white noise [53].

> In basic CELP, the excitation signal is modeled as an entry from a fixed codebook (hence code-excited). In some CELP variants, such as Speex's VBR (variable bit rate) mode, the codewords can be chosen from different codebooks depending on the complexity of the input frame; each codebook contains entries of a different size. The filter signal is modeled using linear prediction, i.e., as a so-called adaptive codebook where the codebook entries are linear combinations of past excitation signals. The “best entries from each codebook are chosen by searching the space of possible codewords in order to “perceptually optimize the output signal in a process known as analysis-by-synthesis [53]. Thus an encoded frame consists of a fixed codebook entry and gain (coefficient) for the excitation signal and the linear prediction coefficients for the filter signal.

> Lastly, many VoIP providers (including Skype) use VBR codecs to minimize bandwidth usage while maintaining call quality. Under VBR, the size of the codebook entry, and thus the size of the encoded frame, can vary based on the complexity of the input frame. The specification for Secure RTP (SRTP) [3] does not alter the size of the original payload; thus encoded frame sizes are preserved across the cryptographic layer. The size of the encrypted packet therefore reflects properties of the input signal; it is exactly this correlation that our approach leverages to model phonemes as sequences of lengths of encrypted packets.


That pretty much summarizes the paper. CELP + VBR means that message length is going to depend on complexity. Due to how linear prediction works, more information is needed to encode a drastic change in sound &mdash; like the pause between phonemes! This allows the authors to build a model that can break an **encrypted** audio signal into phonemes: that is, deciding which audio frames belong to which unit of speech.

They then built a classifier that, still only using the packet length information they started with, decides which segmented units of encrypted audio represent which actual phonemes. They then use a language model to correct the previous step's output and segment the phoneme stream into words and then phrases.

The crazy thing is that this whole rigmarole works! They used a metric called [METEOR](http://www.cs.cmu.edu/~alavie/METEOR/) and got scores of around .6. This is on a scale where &lt;.5 is considered "interpretable by a human." Considering that the threat vector here is a human using this technique to listen in on your encrypted VoIP calls &mdash; that's pretty amazing! 

- - -

## Epilogue

After passing the rigorous all-night culture fit screening, you end up getting the job. Six months later, Mont Piper is sold to a large conglomerate. Gary refuses to trade in his Norwegian metal t-shirts for a button-down and is summarily fired. You now spend your days going on-site to a big bank, "advising" a team that hates your guts.

But recently, you've picked up machine learning and found this really cool online game where you try to make a 6-legged robot walk in a 3d physics simulation...

*This [article](https://blog.appcanary.com/2016/encrypt-or-compress.html) was originally posted on the [Appcanary blog](https://blog.appcanary.com)*.