Homomorphic encryption with optimized parameter selection

At least one device comprising:

• one or more processors;
• and
• memory storing instructions that, when executed by the one or more processors, cause the at least one device to perform operations comprising:
• receiving a sequence of operations including one or more homomorphic operations to be performed on at least one ciphertext;
• running a simulation on the sequence of operations to determine an expected error in the at least one ciphertext, wherein the simulation is run iteratively to determine one or more encrypting parameters for encrypting at least one plaintext polynomial into at least one ciphertext;
• determining at least one encoding parameter for encoding input data into at least one plaintext polynomial;
• transmitting, to a computing device over a network, the at least one encoding parameter and the at least one encrypting parameter;
• receiving, from the computing device over the network, at least one ciphertext, the at least one ciphertext based at least in part on the at least one encoding parameter and the at least one encrypting parameter;
• performing the sequence of operations including the one or more homomorphic operations on the at least one ciphertext;
• determining a result based at least in part on the sequence of operations;
• and
• transmitting, to the computing device over the network, the result.

A computer-implemented method for simulating homomorphic operations to generate operating parameters, the computer-implemented method performed by at least one processor, and the computer-implemented method comprising:

• receiving a sequence of operations including one or more homomorphic operations to be performed on at least one ciphertext;
• running a simulation on the sequence of operations to determine an expected error in the at least one ciphertext;
• generating at least one encrypting parameter based on a result of the simulation, the at least one encrypting parameter to encrypt an encoded plaintext polynomial into at least one ciphertext;
• transmitting, to a computing device over a network, the at least one encrypting parameter;
• receiving, over the network, at least one ciphertext, the at least one ciphertext based at least in part on at least one encoding parameter and the at least one encrypting parameter;
• and
• performing the sequence of operations including the one or more homomorphic operations on the at least one ciphertext.