Full stack, post-quantum, fully homomorphic encrypted messaging application using ring-LWE in PHP + SQL + Python.
RESOURCES:
- Original Python: https://blog.openmined.org/build-an-homomorphic-encryption-scheme-from-scratch-with-python/
- ring-LWE notes: https://math.colorado.edu/~kstange/teaching-resources/crypto/RingLWE-notes.pdf
- NIST Post-Quantum: https://csrc.nist.gov/projects/post-quantum-cryptography
- Red Hat Post-Quantum/Lattices: https://www.redhat.com/en/blog/post-quantum-cryptography-lattice-based-cryptography
- Latticed-based cryptography: https://thelatticeclub.com
SQL:
Three tables are required to store login_info, messages, and public_keys.
login_info:
- username CHAR(14)
- password CHAR(60)
- token CHAR(32)
Passwords are hashed using standard hashing. Secure, random tokens stored for user sessions.
messages:
- from CHAR(14)
- to CHAR(14)
- message VARCHAR(8000)
Messages are stored encrypted. The inflation ratio is ~13.7.
public_keys:
- username CHAR(14)
- public_key CHAR(192)
Public keys are a single string representing two (reduced cyclotomic) polynomials which are each arrays of ints.
PHP:
Used to handle basic account creation, login, and SQL insertions/lookups.
Python:
Python scripts are executed directly using shell_exec. Output is printed and passed back as a string.