I dunno about that. Over the years I have seen several methods of encryption using methods that I guarantee you are not going to break unless you know the exact key and method used. I even know of a method, quite simple actually, to shrink down any dual layer movie-dvd -sized data to about half its size and sometimes quite a bit more, using an algorithm that you have probably used many times before unknowingly, and that is before using more readily available methods like the zip and 7z formats. Just make absolutely sure you never lose the encryption key or even the person or computer system used will never recover it.
Encryption, however is not the same as anonymity. I guarantee using that level of encryption you can send the data over the net with little chance of anyone deciphering it. No, what I am concerned with is the ability for unwanted others to track us over the internet.
Code breaking is now so far in advance of encryption that it is hardly worth the effort to try anymore. The use of factoring no longer presents a serious obstacle, and with quantum computing it will just be brushed aside.
The best advice to keep privacy is not to use electronics.