General synonyms:
* Confidential
* Private
* Hidden
* Concealed
* Classified
* Hush-hush
* Top secret
* Undisclosed
* Unknown
Synonyms emphasizing secrecy:
* Covert
* Clandestine
* Stealthy
* Furtive
* Under wraps
Synonyms emphasizing the nature of the information:
* Mystery
* Enigma
* Riddle
* Clue
* Insider information
* Trade secret
Synonyms emphasizing the act of keeping something secret:
* Concealment
* Suppression
* Suppression
* Withholding
* Keeping quiet
Synonyms emphasizing the result of keeping something secret:
* Unknown
* Unsolved
* Unrevealed
* Uncovered
The best synonym to use will depend on the specific context and the shade of meaning you want to convey.