2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/31519We propose public-key cryptosystems with public key a system of polynomial equations, algebraic or differential, and private key a single polynomial or a small-size ideal. We set up probabilistic encryption, signature, and signcryption protocols.Cryptography and SecuritySymbolic ComputationE.3text