The logo clearly shows a string of characters on the inner gold ring surrounding the usual eagle-based motif.
For those of poor eyesight, the characters are:
Let's apply some simple analysis before we reveal the secret.
Firstly, it's almost certainly a hexadecimal string - there are digits 0 - 9 and letters a - f only. Breaking it into 2-byte pairs gives us:
9e c4 c1 29 49 a4 f3 14 74 f2 99 05 8c e2 b2 2a
An inspection of which suggests a very low likelihood of a simple character translation to plain text.
What else do we know? There are 32 bytes in the string and this is a very common length for a hash value.
The article from The Age infers the solution, without actually revealing it, noting that it is connected with the organisation's mission statement: "USCYBERCOM plans, coordinates, integrates, synchronizes and conducts activities to: direct the operations and defense of specified Department of Defense information networks and; prepare to, and when directed, conduct full spectrum military cyberspace operations in order to enable actions in all domains, ensure US/Allied freedom of action in cyberspace and deny the same to our adversaries."
In fact, using a reverse hash calculator we can easily determine that indeed the code is the MD5 hash of the mission statement.
This all suggests a couple of things. That the new Cyber Command might actually know a thing or two about encryption techniques and also that they seem to have a mild sense of humour.