From 910fa274ba6aa38d481e809f8138d737c831efe3 Mon Sep 17 00:00:00 2001 From: Michael Zhang Date: Tue, 2 Aug 2022 15:12:22 -0500 Subject: [PATCH] uiuctf 2022 --- assets/sass/_content.scss | 5 + .../blender-objects.png | Bin 0 -> 24160 bytes .../easy-math.c | 60 ++++++ .../frame.tar.gz | Bin 0 -> 709170 bytes .../2022-08-01-uiuctf-2022-writeups/index.md | 204 ++++++++++++++++++ .../2022-08-01-uiuctf-2022-writeups/pwny.glb | Bin 0 -> 1562048 bytes 6 files changed, 269 insertions(+) create mode 100644 content/posts/2022-08-01-uiuctf-2022-writeups/blender-objects.png create mode 100644 content/posts/2022-08-01-uiuctf-2022-writeups/easy-math.c create mode 100644 content/posts/2022-08-01-uiuctf-2022-writeups/frame.tar.gz create mode 100644 content/posts/2022-08-01-uiuctf-2022-writeups/index.md create mode 100644 content/posts/2022-08-01-uiuctf-2022-writeups/pwny.glb diff --git a/assets/sass/_content.scss b/assets/sass/_content.scss index d2e3fd7..e152cd3 100644 --- a/assets/sass/_content.scss 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z`%k0(#NWmY`fu+%O0Y7shXVhk#ADt7%`9vH41eWMGbn)OU)%qPz;E$-oS={O^>cxN ze=>mlP9>HUvB@n`>EZ3jmpnyLS+OH0dW2H%J*Na zdyLPoP2eXv!#|_V2%w|;lfHjx(oY5skHf;`x5z&F_NNyAV#D%>4EUMhe__OL0JN|H z1E_v2+{bo8|LaJl7ZU+FSOcIC3sL&tGolBW*~3KX^}sHWe>5;Fvq!Y$&p!5RHxXi> z|CP(XN9H4|UpoZVfB5^+#Q@-A$o|T_f2yTv1AOfFZjZ@g<_P$;%Ky?27M+yHzJXX=8 zTo-%GU-9OTF8S#}%fAr)=LGvNV*gqw4E*TgpON@kRsffu2!Im=YypHq|3lOt1pRI! z{+C_*-_IiK{}}9#6ZN + +## Web: Frame - 50 points + +> "ornate wooden empty picture frame, on a teal wall" +> +> We made it easy to add a frame to your digital art! https://frame-web.chal.uiuc.tf/ +> +> [handout.tar.gz](frame.tar.gz) + +This challenge prompted us to upload an image, and then it would display the +image inside of a frame. Notably, this frame was done client-side, which means +the original image was not post-processed in any way. If we look at the code +that checks to make sure you uploaded a valid image: + +```php +$allowed_extensions = array(".jpg", ".jpeg", ".png", ".gif"); +$filename = $_FILES["fileToUpload"]["name"]; +$tmpname = $_FILES["fileToUpload"]["tmp_name"]; +$target_file = "uploads/" . bin2hex(random_bytes(8)) . "-" .basename($filename); + +$has_extension = false; +foreach ($allowed_extensions as $extension) { + if (strpos(strtolower($filename), $extension) !== false) { + $has_extension = true; + } +} +``` + +The flaw here is that the file extension is only checked for existence, not that +it actually occurs at the end of the file. As a result, the web server will +guess the kind of data in the file based on the final extension. We can simply +upload a file named `hello.jpg.php` and it will pass this. + +The Dockerfile in the handout helpfully tells us the location of the flag, so +here is the file I uploaded: + +``` +cp real_image.jpg hello.jpg.php +echo '' >> hello.jpg.php +``` + +Uploading this file reveals the flag. + +## Web: AR Pwny - 50 points + +> "a green cybernetic horse grazing in the sun" +> +> Welcome to the meataverse! http://ar-pwny-web.chal.uiuc.tf/ +> +> [pwny.glb](pwny.glb) + +A glb file is a glTK texture. We can open this in a program such as [Blender] in +order to understand it. Use **File > Import > glb** to open the file, then hide +all of the objects except the two flag halves. + +[blender]: https://www.blender.org + +![Hiding blender objects](blender-objects.png) + +This reveals two QR codes that can be combined into the flag. + +## Pwn: easy math 1 - 88 points + +> Take a break from exploiting binaries, and solve a few\* simple math problems! +> +> `$ ssh ctf@easy-math.chal.uiuc.tf` password is `ctf` +> +> [easy-math.c](easy-math.c) + +This is really just a simple programming exercise. Looking at the source code, +the annoying part is that it checks that your standard input is the same as the +standard input of proc 1. + +This isn't too bad to get around, since we can just puppet the pseudoterminal of +the SSH connection entirely using something like Paramiko: + +```python +ssh = paramiko.SSHClient() +ssh.set_missing_host_key_policy(paramiko.AutoAddPolicy()) +ssh.connect("easy-math.chal.uiuc.tf", 22, "ctf", "ctf") + +ch = ssh.invoke_shell() +print(ch.recv(1024)) +``` + +Looks like there was a more sneaky way of solving this challenge, which is what +easy-math-2 went into, but I didn't spend enough time looking at this in order +to figure it out. + +[solve script](https://git.sr.ht/~mzhang/uiuctf-2022/tree/master/item/pwn/easy-math-1/solve.py) + +## Crypto: Military Grade Encryption - 50 points + +> I came across a new website that claims to keep my flag safe with +> military-grade encryption. Clearly, this is going to keep my flag safe from +> anyone who may want it. https://military-grade-encryption-web.chal.uiuc.tf/ + +I'm not really sure what the clever way to solve this was, but all the numbers +were small enough to be brute forced, so that's what I did. Simply reverse the +process used and look for a string beginning with `uiuctf{`. + +[solve script](https://git.sr.ht/~mzhang/uiuctf-2022/tree/master/item/crypto/military-grade-encryption/solve.py) + +## Crypto: asr - 85 points + +> Oh no I dropped my d. Good thing I'm not telling you my n. + +As this challenge implies, the problem comes from reversing the typical +challenge of RSA. This time, rather than starting with a modulus and trying to +discover the private exponent, we are given the private exponent, and trying to +find the modulus. + +As a reminder, once we find $N$, we can simply evaluate $c^d \mod N$ to +determine the final message. + +First, we know that the relationship between $e$ and $d$ is that $ed \equiv 1 +\mod \phi(N)$. Translating this to plain algebra, this means $ed - 1 = k\phi(N)$ +for some positive integer $k$. This tells us that $ed - 1$ must divide +$\phi(N)$. + +We used an [external factoring service] to factor $ed - 1$. Using the +`gen_prime` method given to us, we are able to validate that our factorization +ended up being what was expected: exactly 16 64-bit primes, and a handful of +smaller primes. The only thing left is organizing the 16 primes into two groups +of 8. + +[external factoring service]: https://www.alpertron.com.ar/ECM.HTM + +Trusty old combinatorics tells us ${16 \choose 8} = 12870$, which is easily +iterable within a matter of seconds. After picking 8 primes, we simply run +through the same process as `gen_prime` in order to generate our $p$ and $q$: + +```python +for perm in tqdm(perms): + perm = set(list(perm)) + p = prod(perm) + q = prod(bigprimes - perm) + + for i in range(7): + if isPrime(p + 1): break + p *= small_primes[i] + for i in range(7): + if isPrime(q + 1): break + q *= small_primes[i] + + p = p + 1 + q = q + 1 +``` + +All that's left is to run $c^d \mod N$ and find strings that begin with +`uiuctf{` to determine which of these organizations of prime factors is the +correct one. + +[solve script](https://git.sr.ht/~mzhang/uiuctf-2022/tree/master/item/crypto/asr/solve2.py) + +## Wringing Rings - 139 points + +> Everyone says we should use finite fields, but I loved sharing secrets this +> way so much that I put a ring on it! +> +> `$ nc ring.chal.uiuc.tf 1337` + +This challenge employs a variation of [Shamir's Secret Sharing algorithm][SSS]. +The crux of the algorithm involves encoding a shared secret into the +coefficients of a polynomial of degree $k$. Note that given $k + 1$ unique +points on this polynomial, the entire polynomial can be recovered. If $k$ is 6, +and we generate 12 unique points to split between 12 people, then any individual +must find 6 others in order to recover the secret. + +[SSS]: https://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing + +The problem with the implementation in question is that it does not operate over +a finite field, as required by the original algorithm. This leaks information +about the secret, specifically with respect to what numbers it divides, since we +know that all coefficients must be integers. + +This means that even with the absence of one of the required points, we can +still reasonably recover the curve with the added information that all +coefficients are less than $500,000$. + +I simply threw all of the constraints we are given into the z3 solver, and +within milliseconds the answer was given. 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