If your scenario involves reusing keys then what you are breaking is not a one-time pad.
You're showing that if you implement something vaguely similar to OTP, but lacking the one element that makes OTP secure, it fails the IND-CCA2 game. Which is really pretty obvious when you think about it since OTP minus the critical "one time" element is just repeated XOR with a fixed key, which is barely stronger than ROT-13.
You're showing that if you implement something vaguely similar to OTP, but lacking the one element that makes OTP secure, it fails the IND-CCA2 game. Which is really pretty obvious when you think about it since OTP minus the critical "one time" element is just repeated XOR with a fixed key, which is barely stronger than ROT-13.