Best way to strip off symbols

Last week I released the Linux and windows version of an application.

And after the release we realized that the symbols were not stripped off, and my manager thinks (and I disagree) that it might allow the user to understand our algorithm.

Anyway, now, I will have to clean-up the symbols and re-release the application.

My question,

1. What is the best way to strip symbols in Linux?
2. What is the best way to strip symbols in Windows?