Have a couple of questions that may be of use to you:
- Is there any benefit to encrypting twice using pgp?
- Is encrypting twice good or bad?
- https://crypto.stackexchange.com/questions/779/hashing-or-encrypting-twice-to-increase-security
- https://crypto.stackexchange.com/questions/5382/is-it-safer-to-encrypt-twice-with-rsa
- https://crypto.stackexchange.com/questions/2314/does-encrypting-twice-using-the-same-block-cipher-produce-a-security-weakness
General idea seems to be this point:
Well, think about it this way. If breaking one encryption with brute force will take longer than the lifetime of the universe, are you any safer with an encryption scheme that will take twice the lifetime of the universe? No. The first encryption cannot be broken. Adding a second encryption just adds computation overhead with no real benefit. - mikeazo
I would advise asking this question in https://crypto.stackexchange.com/, they may give you more detailed information on the topic.