Your question:

Homomorphic encryption allows you to make computation on encrypted data, explain in detail how CKKS scheme work. (Input, Plaintext encoding and what are the security parameters)?

Assignment Help Answers with Step-by-Step Explanation:

The CKKS (Cheon-Kim-Kim-Song) homomorphic encryption scheme is a powerful tool for performing computations on encrypted data while maintaining the confidentiality of that data. CKKS is particularly well-suited for working with real or complex numbers and is commonly used in privacy-preserving machine learning and other applications where numerical computations are required.

Here's a detailed explanation of how the CKKS scheme works, including input, plaintext encoding, and security parameters:

• Encryption:

Once the data is encoded as plaintext polynomials, it can be encrypted. The CKKS encryption algorithm takes the plaintext polynomial as input and encrypts it to produce a ciphertext polynomial. Importantly, the encryption process hides the values of the plaintext coefficients, ensuring the confidentiality of the data.

These homomorphic operations can be composed and repeated to perform complex computations while keeping the data encrypted.

• Decryption:

• Coefficient Modulus: The coefficient modulus is a set of prime numbers that define the modulus for the polynomial coefficients. The choice of these primes impacts the security and efficiency of the scheme.

• Scale Parameter: The scale parameter controls the precision of the encoded data and affects the accuracy of computations. It must be set carefully to prevent overflow or excessive precision loss during operations.