Cheat Table is a file format used by Cheat Engine to store cheat data such as addresses, code locations, auto assembler codes etc. Cheat tables usually have the file extension ".ct". It allows you to share your cheats and scripts you have made with cheat engine with others. Cheat Tables can also store CE Trainer form data and lua scripts.
To use a cheat table, you need to have Cheat Engine installed first. Then simply open the cheat table through CE or associate it with ce and double click on it.