There are many synonyms for the term "code message". In the context of encrypted messages, "ciphertext" is often used. In terms of communication, "secret message", "encrypted message", and "cryptogram" are all interchangeable with "code message". Another way to describe a coded message could be to call it a "cipher", "encoded message", or "scrambled communication". To emphasize the complexity of the coded message, other synonyms include "obfuscated message", "puzzle message", and "cryptic message". In summary, there are many different ways to convey the idea of a coded message depending on the context and intended level of secrecy.