An encryption system comprises a key generation apparatus that generates an encryption key relating to the authority to generate a ciphertext from a plaintext, a homomorphic operation key relating to the authority to execute a homomorphic operation on a ciphertext that remains encrypted and whose authority is weaker than that of the encryption key, and a decryption key relating to the authority to decrypt ciphertext; an encryption apparatus that generates a ciphertext from a plaintext using the encryption key; a homomorphic operation apparatus that executes a homomorphic operation on the ciphertext using the homomorphic operation key; and a decryption apparatus that decrypts ciphertext using the decryption key.