Up to this point I was using physical hard drives for backups, typically using dm_crypt as mentioned here. If online storage is used instead, and the provider cannot be trusted how much should the security parameter of the encryption routine be increased (I'm always using an encrypted drive) so that recovering the contents becomes unfeasible.

This question approaches the same issues but considers the files to be encrypted by the backup provider and not the user.

Up to this point I was using physical hard drives for backups, typically using dm_crypt as mentioned here. If online storage is used instead, and the provider cannot be trusted how much should the security parameter of the encryption routine be increased (I'm always using an encrypted drive) so that recovering the contents becomes unfeasible.

This question approaches the same issues but considers the files to be encrypted by the backup provider and not the user.