Fully Homomorphic RSA

crypto RSA FCSC 2026 solved on

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Description

It is well known that the plain RSA primitive is multiplicatively homomorphic: the ciphertext corresponding to the product of two plaintexts is the product of the two ciphertexts. After several years of work, our researchers have obtained a major breakthrough: they have figured out how to compute the ciphertext corresponding to the sum of two plaintexts using only the original ciphertexts and the public key. This makes the RSA cryptosystem fully homomorphic!

The details of their work is still confidential. However, we’re pleased to share an emulator of this “Fully Homomorphic RSA”, so that the community can already start to explore all the possibilities it offers.

Files

Author

hr

Challenge Instructions

  1. First, download docker-compose.yml:
    curl https://hackropole.fr/challenges/fcsc2026-crypto-fully-homomorphic-rsa/docker-compose.public.yml -o docker-compose.yml
  2. Launch the challenge by executing in the same folder:
    docker compose up
  3. Then, in another console, access the challenge with Netcat:
    nc localhost 4000
⚠️ Important: You must solve the challenge by interacting with the Docker container through the exposed network port. Any other way is not considered valid.

In case you encounter problems, please consult the FAQ.

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