# Can we do modulus switching for number theoretic encryption?

Can we do modulus switching for number theoretic encryption such as Paillier or ElGamal?

• In theory I guess you could, but what would be the purpose of it? Apr 28 '16 at 21:12
• What is "modulus switching" ? Apr 29 '16 at 1:55
• @fkraiem Just change the modular to a larger number. Like FHE. Apr 29 '16 at 7:37

It would be nice to discover a hard problem related to some change of modulus, comparable to indistinguishability of Diffie-Hellman tuples of 4 group elements for ElGamal or $n$-th roots for Paillier with modulus $n^2$.