In simple terms, cryptography is the science concerned with the study of secret communication.
If you look at the origin of the root words of cryptography (crypto and graphy), you will see that "crypto" stands for "hidden, secret", and "graphy" denotes "a process or form of drawing, writing, representing, recording, describing, etc., or an art or science concerned with such a process." So you can see that cryptography is indeed the science concerned with secret communication.
If you check Google to see what the term "cryptography" means (i.e. "define: cryptography"), you will see a long list. And if you check dictionary.com you will at least see 3 variation of its definition:
- The science or study of the techniques of secret writing, esp. code and cipher systems, methods, and the like.Compare cryptanalysis (def. 2).
- The procedures, processes, methods, etc., of making and using secret writing, as codes or ciphers.
- Anything written in a secret code, cipher, or the like.
With the advent of digital technology, it really lends itself well to and is more well known in the application of secure communication. Thus you can see that simply, cryptography is the science of secret communication.