There is no easy way to achieve this.
You first have to read enough literature to understand why current algorithms are designed the way they are, and how earlier algorithms have been broken.
Next you have to write a research paper documenting how your algorithm has been secured against all known attacks in existing literature and what your algorithm can do better.
Finally you submit this paper to a serious cryptographic journal and get it accepted. (Beware that if you did not fully understand what you were doing at the earlier steps you are going to get stuck at this step.)
Once your algorithm has been accepted in a journal you wait to see what response you get afterwards. If your algorithm gets attention of the cryptographic community for a few years and does not get broken, then it may be safe start using it.