rough playable version finished

.gitignore

@@ -0,0 +1,3 @@
+.venv
+__pycache__
+*.png

.python-version

@@ -0,0 +1 @@
+3.12

README.md

@@ -1,93 +1,13 @@
 # Mosaic
 
+Misc challenge that resolves around reconstructing a QR Code.
+This is an intentionally easy challenge as it is solvable with a little scripting knowledge.
 
+### Theme
 
-## Getting started
+The TAs creating the endterm exam have suffered in the past from leaked drafts.
-
+To protect themselves against further leaks they invented the *mega obfuscated secure advanced information communication* (mosaic) system.
-To make it easy for you to get started with GitLab, here's a list of recommended next steps.
+The mosaic system encodes emails as QR-Codes and then applies the ultra secure protection algorithm.
-
+We found a QR-Code that was not disposed properly in a waste bin.
-Already a pro? Just edit this README.md and make it your own. Want to make it easy? [Use the template at the bottom](#editing-this-readme)!
+Can you decipher the email?
-
+Hint: The mosaic algorithm adds decoy fake data to the QR-Code. It is mega secure after all!
-## Add your files
-
-- [ ] [Create](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#create-a-file) or [upload](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#upload-a-file) files
-- [ ] [Add files using the command line](https://docs.gitlab.com/topics/git/add_files/#add-files-to-a-git-repository) or push an existing Git repository with the following command:
-
-```
-cd existing_repo
-git remote add origin https://gitlab.lrz.de/h4tum-ctf/h4tum-ctf-2025/mosaic.git
-git branch -M main
-git push -uf origin main
-```
-
-## Integrate with your tools
-
-- [ ] [Set up project integrations](https://gitlab.lrz.de/h4tum-ctf/h4tum-ctf-2025/mosaic/-/settings/integrations)
-
-## Collaborate with your team
-
-- [ ] [Invite team members and collaborators](https://docs.gitlab.com/ee/user/project/members/)
-- [ ] [Create a new merge request](https://docs.gitlab.com/ee/user/project/merge_requests/creating_merge_requests.html)
-- [ ] [Automatically close issues from merge requests](https://docs.gitlab.com/ee/user/project/issues/managing_issues.html#closing-issues-automatically)
-- [ ] [Enable merge request approvals](https://docs.gitlab.com/ee/user/project/merge_requests/approvals/)
-- [ ] [Set auto-merge](https://docs.gitlab.com/user/project/merge_requests/auto_merge/)
-
-## Test and Deploy
-
-Use the built-in continuous integration in GitLab.
-
-- [ ] [Get started with GitLab CI/CD](https://docs.gitlab.com/ee/ci/quick_start/)
-- [ ] [Analyze your code for known vulnerabilities with Static Application Security Testing (SAST)](https://docs.gitlab.com/ee/user/application_security/sast/)
-- [ ] [Deploy to Kubernetes, Amazon EC2, or Amazon ECS using Auto Deploy](https://docs.gitlab.com/ee/topics/autodevops/requirements.html)
-- [ ] [Use pull-based deployments for improved Kubernetes management](https://docs.gitlab.com/ee/user/clusters/agent/)
-- [ ] [Set up protected environments](https://docs.gitlab.com/ee/ci/environments/protected_environments.html)
-
-***
-
-# Editing this README
-
-When you're ready to make this README your own, just edit this file and use the handy template below (or feel free to structure it however you want - this is just a starting point!). Thanks to [makeareadme.com](https://www.makeareadme.com/) for this template.
-
-## Suggestions for a good README
-
-Every project is different, so consider which of these sections apply to yours. The sections used in the template are suggestions for most open source projects. Also keep in mind that while a README can be too long and detailed, too long is better than too short. If you think your README is too long, consider utilizing another form of documentation rather than cutting out information.
-
-## Name
-Choose a self-explaining name for your project.
-
-## Description
-Let people know what your project can do specifically. Provide context and add a link to any reference visitors might be unfamiliar with. A list of Features or a Background subsection can also be added here. If there are alternatives to your project, this is a good place to list differentiating factors.
-
-## Badges
-On some READMEs, you may see small images that convey metadata, such as whether or not all the tests are passing for the project. You can use Shields to add some to your README. Many services also have instructions for adding a badge.
-
-## Visuals
-Depending on what you are making, it can be a good idea to include screenshots or even a video (you'll frequently see GIFs rather than actual videos). Tools like ttygif can help, but check out Asciinema for a more sophisticated method.
-
-## Installation
-Within a particular ecosystem, there may be a common way of installing things, such as using Yarn, NuGet, or Homebrew. However, consider the possibility that whoever is reading your README is a novice and would like more guidance. Listing specific steps helps remove ambiguity and gets people to using your project as quickly as possible. If it only runs in a specific context like a particular programming language version or operating system or has dependencies that have to be installed manually, also add a Requirements subsection.
-
-## Usage
-Use examples liberally, and show the expected output if you can. It's helpful to have inline the smallest example of usage that you can demonstrate, while providing links to more sophisticated examples if they are too long to reasonably include in the README.
-
-## Support
-Tell people where they can go to for help. It can be any combination of an issue tracker, a chat room, an email address, etc.
-
-## Roadmap
-If you have ideas for releases in the future, it is a good idea to list them in the README.
-
-## Contributing
-State if you are open to contributions and what your requirements are for accepting them.
-
-For people who want to make changes to your project, it's helpful to have some documentation on how to get started. Perhaps there is a script that they should run or some environment variables that they need to set. Make these steps explicit. These instructions could also be useful to your future self.
-
-You can also document commands to lint the code or run tests. These steps help to ensure high code quality and reduce the likelihood that the changes inadvertently break something. Having instructions for running tests is especially helpful if it requires external setup, such as starting a Selenium server for testing in a browser.
-
-## Authors and acknowledgment
-Show your appreciation to those who have contributed to the project.
-
-## License
-For open source projects, say how it is licensed.
-
-## Project status
-If you have run out of energy or time for your project, put a note at the top of the README saying that development has slowed down or stopped completely. Someone may choose to fork your project or volunteer to step in as a maintainer or owner, allowing your project to keep going. You can also make an explicit request for maintainers.

generate_qrcode.py

@@ -0,0 +1,74 @@
+import qrcode
+from PIL import Image
+import random
+import sys
+
+from templates import payload, decoy_payload
+
+NUM_PIECES = 3
+
+def generate_qrcode(data : str):
+    qr = qrcode.QRCode(version=25, box_size=2, error_correction=qrcode.ERROR_CORRECT_L, border=0)
+    qr.add_data(data)
+    return qr.make_image()
+
+
+def cut_pieces(image):
+    # Get the size of the image
+    width, height = image.size
+    assert width == height
+
+    # Calculate the size of each grid cell
+    cell_width = width // NUM_PIECES 
+    cell_height = height // NUM_PIECES 
+
+    pieces = []
+
+    # Split the original image into 9 pieces
+    for i in range(NUM_PIECES**2):
+        # Calculate the coordinates of the current grid cell
+        x1 = (i % NUM_PIECES) * cell_width
+        y1 = (i // NUM_PIECES) * cell_height
+        x2 = x1 + cell_width
+        y2 = y1 + cell_height
+
+        # Crop the corresponding part of the original image
+        cropped_piece = image.crop((x1, y1, x2, y2))
+        pieces.append(cropped_piece)
+
+    return pieces
+
+
+def scramble_qr_code(payloadList, decoyList, password):
+    height_piece, width_piece = payloadList[0].size
+
+    new_qr_code = Image.new("RGB", (width_piece * (NUM_PIECES+1), height_piece * NUM_PIECES))
+    random.seed(password)
+    payloadList += random.sample(decoyList, NUM_PIECES)
+    assert len(payloadList) == 12
+    random.shuffle(payloadList)
+
+    for x,y in [(x,y) for x in range(NUM_PIECES+1) for y in range(NUM_PIECES)]:
+        piece = payloadList[x + (NUM_PIECES+1) * y]
+        new_qr_code.paste(piece, (x * width_piece, y * height_piece))
+    return new_qr_code
+
+
+def generate_scrambled_qrcode(passphrase):
+    qr_code = generate_qrcode(payload)
+    decoy_qr_code = generate_qrcode(decoy_payload)
+    qr_pieces = cut_pieces(qr_code)
+    decoy_pieces = [piece for id, piece in enumerate(cut_pieces(decoy_qr_code)) if id not in [0,2,6]]
+
+    scrambled_qr_code = scramble_qr_code(qr_pieces, decoy_pieces, passphrase)
+    scrambled_qr_code.save("scrambled_test_qr_code.png")
+
+
+def main():
+    if len(sys.argv) != 2:
+        print("missing password")
+        sys.exit()
+    generate_scrambled_qrcode(sys.argv[1])
+
+if __name__ == "__main__":
+    main()

locate_finders.py

@@ -0,0 +1,51 @@
+from PIL import Image
+import numpy as np
+from numpy.lib.stride_tricks import sliding_window_view
+
+def load_bw(path):
+    # Black=1, White=0
+    im = Image.open(path).convert("L")
+    bw = (np.array(im) < 128).astype(np.uint8)
+    return bw
+
+def finder_template(box_size=2):
+    # 7x7 finder: outer black, inner white (5x5), center black (3x3)
+    F = np.array([
+        [1,1,1,1,1,1,1],
+        [1,0,0,0,0,0,1],
+        [1,0,1,1,1,0,1],
+        [1,0,1,1,1,0,1],
+        [1,0,1,1,1,0,1],
+        [1,0,0,0,0,0,1],
+        [1,1,1,1,1,1,1],
+    ], dtype=np.uint8)
+    # upscale to pixels
+    return np.kron(F, np.ones((box_size, box_size), dtype=np.uint8))
+
+def count_finders(img_path, box_size=2, max_mismatch=0):
+    bw = load_bw(img_path)
+    T = finder_template(box_size=box_size)
+    h, w = T.shape
+    # slide 14x14 window over the image
+    win = sliding_window_view(bw, (h, w))
+    # Hamming distance to template per window
+    mismatches = (win ^ T).sum(axis=(-2, -1))
+    hits = mismatches <= max_mismatch
+    # Optional: suppress overlapping duplicates by non-maximum suppression on exact matches
+    ys, xs = np.where(hits)
+    # Convert to center coordinates
+    centers = [(int(y + h/2), int(x + w/2)) for y, x in zip(ys, xs)]
+
+    # Greedy dedup within ~half a finder width
+    deduped = []
+    r = max(2, h//2)
+    for cy, cx in centers:
+        if all((abs(cy - y) > r) or (abs(cx - x) > r) for y, x in deduped):
+            deduped.append((cy, cx))
+
+    return len(deduped), deduped
+
+if __name__ == "__main__":
+    n, centers = count_finders("./scrambled_test_qr_code.png", box_size=2, max_mismatch=0)
+    print("Finder count:", n, "centers:", centers, "Exactly three?", n == 3)
+

pyproject.toml

@@ -0,0 +1,13 @@
+[project]
+name = "mosaic"
+version = "0.1.0"
+description = "Add your description here"
+readme = "README.md"
+requires-python = ">=3.12"
+dependencies = [
+    "numpy>=2.3.2",
+    "pillow>=11.3.0",
+    "pyzbar>=0.1.9",
+    "qrcode>=8.2",
+    "tqdm>=4.67.1",
+]

solve.py

@@ -0,0 +1,131 @@
+from PIL import Image
+from pyzbar.pyzbar import decode
+import itertools
+from math import perm
+from tqdm import tqdm
+import numpy as np
+import sys
+
+NUM_PIECES_WIDTH = 4
+NUM_PIECES_HEIGHT = 3
+BOX_SIZE = 2
+TILE = 78
+# 7x7 finder, upscaled to 14x14 (black=1, white=0)
+TEMPLATE = np.kron(np.array([
+    [1,1,1,1,1,1,1],
+    [1,0,0,0,0,0,1],
+    [1,0,1,1,1,0,1],
+    [1,0,1,1,1,0,1],
+    [1,0,1,1,1,0,1],
+    [1,0,0,0,0,0,1],
+    [1,1,1,1,1,1,1],
+], dtype=np.uint8), np.ones((BOX_SIZE, BOX_SIZE), np.uint8))
+H, W = TEMPLATE.shape  # 14x14
+
+
+def decodeQRCode(image : Image.Image) -> str | None:
+    # Decode the QR code
+    decoded_objects = decode(image)
+
+    # Check if any QR code was found
+    if decoded_objects:
+        # Iterate through all the detected QR codes and print their data
+        for obj in decoded_objects:
+            return obj.data.decode("utf-8")
+    else:
+        return None
+
+
+def cut_pieces(image):
+    # Get the size of the image
+    width, height = image.size
+
+    # Calculate the size of each grid cell
+    cell_width = width // NUM_PIECES_WIDTH 
+    cell_height = height // NUM_PIECES_HEIGHT 
+
+    pieces = []
+
+    # Split the original image into 12 pieces
+    for i in range(NUM_PIECES_WIDTH * NUM_PIECES_HEIGHT):
+        # Calculate the coordinates of the current grid cell
+        x1 = (i % NUM_PIECES_WIDTH) * cell_width
+        y1 = (i // NUM_PIECES_WIDTH) * cell_height
+        x2 = x1 + cell_width
+        y2 = y1 + cell_height
+
+        # Crop the corresponding part of the original image
+        cropped_piece = image.crop((x1, y1, x2, y2))
+        pieces.append(cropped_piece)
+
+    return pieces
+
+
+def to_bw01(img):
+    # Force 1-bit, then map black->1, white->0
+    a = np.array(img.convert("1"))  # {0,255}
+    return (a == 0).astype(np.uint8)
+
+
+def finder_corner_exact(tile_bw):
+    crops = {
+        'TL': tile_bw[0:H,            0:W            ],
+        'TR': tile_bw[0:H,            TILE-W:TILE    ],
+        'BL': tile_bw[TILE-H:TILE,    0:W            ],
+        'BR': tile_bw[TILE-H:TILE,    TILE-W:TILE    ],
+    }
+    for corner, crop in crops.items():
+        if np.array_equal(crop, TEMPLATE):
+            return corner
+    return None  # no exact finder in this tile
+
+
+def three_tiles_with_finders(tiles):
+    hits = []
+    for tile in tiles:
+        corner = finder_corner_exact(to_bw01(tile))
+        if corner is not None:
+            hits.append((tile, corner))
+            if len(hits) == 3:
+                break
+    return hits
+
+
+if __name__ == "__main__":
+    img = Image.open("./scrambled_test_qr_code.png")
+    new_image = Image.new("RGB", (img.height, img.height))
+
+    pieces = cut_pieces(img)
+    corners = three_tiles_with_finders(pieces)
+
+    for tile, corner in corners:
+        if corner == 'TL':
+            new_image.paste(tile, (0,0))
+        elif corner == 'TR':
+            new_image.paste(tile, (156,0))
+        elif corner == 'BL':
+            new_image.paste(tile, (0,156))
+        else:
+            sys.exit()
+
+
+    pieces = [piece for piece in pieces if piece not in [tile for tile, _ in corners]]
+    assert len(pieces) == 9
+    new_image.show()
+    possible_combos = itertools.permutations(pieces, 6)
+    num_possible_combos = perm(len(pieces), 6)
+    print(f"Testing {num_possible_combos} combinations")
+
+    for a,b,c,d,e,f in tqdm(possible_combos, total=num_possible_combos):
+        new_image.paste(a, (78, 0))
+        new_image.paste(b, (0, 78))
+        new_image.paste(c, (78, 78))
+        new_image.paste(d, (156, 78))
+        new_image.paste(e, (78, 156))
+        new_image.paste(f, (156, 156))
+        output = decodeQRCode(new_image)
+        if output:
+            print(output)
+
+    print(decodeQRCode(img))
+

templates.py

@@ -0,0 +1,55 @@
+flag = "h4tum{small_key_spaces_are_deadly}"
+
+payload = f"""
+From: hochspezialisiert@sec.in.tum.de
+To: itsec_examdraft@sec.in.tum.de
+Subject: [Draft Question — Cryptography]
+
+Confidential (ONLY FOR AUTHORIZED PERSONNEL)
+
+Question:
+Consider a toy "QR-encryption" scheme where a message is encoded into
+a QR code and then randomized by permuting its tiles with a secret seed.
+
+(a) Under ideal assumptions, explain why this scheme could satisfy
+Kerckhoffs’ principle.  
+(b) Now assume an attacker can test permutations against the QR format
+(find patterns, error correction, alignment markers). Why does this
+reduce the effective security of the scheme?  
+
+Solution (DO NOT DISTRIBUTE):
+(a) If the algorithm is known and the seed remains secret, only the
+seed determines security → aligns with Kerckhoffs’ principle.  
+(b) QR codes have strong structural redundancy (finder patterns,
+error correction). This gives the attacker an oracle to prune wrong
+seeds quickly → brute force feasible.  
+
+Verification Token: {flag}"""
+
+decoy_payload = """
+From: ops-team@sec.in.tum.de
+To: exam_archive@sec.in.tum.de
+Subject: [Draft Item — Secure Systems]
+
+Restricted Draft — Not Finalized
+
+Question:
+Suppose a QR code is divided into equal parts and randomly
+reordered before printing. Security is claimed because the
+order cannot be recovered without the exact permutation.  
+
+(a) Explain why relying on this hidden ordering ensures
+long-term secrecy.  
+(b) Would the presence of alignment markers or error
+correction change this conclusion? Justify briefly.  
+
+Solution (Internal Notes Only):
+(a) The scheme is secure since without the original order,
+the data is mathematically unrecoverable; no structure
+leaks to the adversary.  
+(b) Alignment markers and redundancy do not help attackers,
+because the scrambling completely destroys any visible
+pattern, leaving only random noise.  
+
+Verification Token: h4tum{fake_fake_fake_flag]"""
+

test_finders.py

@@ -0,0 +1,15 @@
+from locate_finders import count_finders
+from generate_qrcode import generate_scrambled_qrcode
+import random
+from PIL import Image
+
+for i in range(1000):
+    print(f"\rTesting {i}", end="")
+    generate_scrambled_qrcode(random.randbytes(32))
+    finders, _ = count_finders("./scrambled_test_qr_code.png")
+    if finders != 3:
+        print("found anomaly")
+        img = Image.open("./scrambled_test_qr_code.png")
+        img.show()
+
+

uv.lock

@@ -0,0 +1,196 @@
+version = 1
+revision = 3
+requires-python = ">=3.12"
+
+[[package]]
+name = "colorama"
+version = "0.4.6"
+source = { registry = "https://pypi.org/simple" }
+sdist = { url = "https://files.pythonhosted.org/packages/d8/53/6f443c9a4a8358a93a6792e2acffb9d9d5cb0a5cfd8802644b7b1c9a02e4/colorama-0.4.6.tar.gz", hash = "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44", size = 27697, upload-time = "2022-10-25T02:36:22.414Z" }
+wheels = [
+    { url = "https://files.pythonhosted.org/packages/d1/d6/3965ed04c63042e047cb6a3e6ed1a63a35087b6a609aa3a15ed8ac56c221/colorama-0.4.6-py2.py3-none-any.whl", hash = "sha256:4f1d9991f5acc0ca119f9d443620b77f9d6b33703e51011c16baf57afb285fc6", size = 25335, upload-time = "2022-10-25T02:36:20.889Z" },
+]
+
+[[package]]
+name = "mosaic"
+version = "0.1.0"
+source = { virtual = "." }
+dependencies = [
+    { name = "numpy" },
+    { name = "pillow" },
+    { name = "pyzbar" },
+    { name = "qrcode" },
+    { name = "tqdm" },
+]
+
+[package.metadata]
+requires-dist = [
+    { name = "numpy", specifier = ">=2.3.2" },
+    { name = "pillow", specifier = ">=11.3.0" },
+    { name = "pyzbar", specifier = ">=0.1.9" },
+    { name = "qrcode", specifier = ">=8.2" },
+    { name = "tqdm", specifier = ">=4.67.1" },
+]
+
+[[package]]
+name = "numpy"
+version = "2.3.2"
+source = { registry = "https://pypi.org/simple" }
+sdist = { url = "https://files.pythonhosted.org/packages/37/7d/3fec4199c5ffb892bed55cff901e4f39a58c81df9c44c280499e92cad264/numpy-2.3.2.tar.gz", hash = "sha256:e0486a11ec30cdecb53f184d496d1c6a20786c81e55e41640270130056f8ee48", size = 20489306, upload-time = "2025-07-24T21:32:07.553Z" }
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