I created a new, unknown symmetric encryption algorithm. It looks like it's very fast and can be useful. I'm kind of independent researcher, hobbyist. Since years I'm interesting in Kakutani's problem and it's generalizations. And that's why I was abble to create it. I'm not a matematician with academic degree, what's more I even can not programming (I know only total basics of C), but I am very involved on the subject of the Kakutani's problem and its generalizations, I have known and read all major scientific publications since years ago on this topic. Here is an example of hash function which can be done with Kakutani's sequences and it's generalizations:
As you can see it is possible to made a brilliant cryptographic/hash algoritm based on these functions, if you know how to use them. In recent years, more and more scientists are beginning to see the cryptographic potential in this field of mathematics (Kakutani's problem). So it's not just some easy topic, another stupid algoritm, it is based on one of the biggest unsolved math problem. Someone who will create algoritm based on pseudorandomness of Kakutani's sequences (and generalizations) can probably create very strong cryptographic tool.
Algoritm like this (I mean this one which I created) requires testing in couple areas (confusion and diffusion, differential cryptanalysis and so on), but I do not know cryptography so well to do this on my own (even don't know how to start). Simultaneously I have strong believe that my algoritm is something valuable and interesting.
What should I do? Do you think that such algorithm can be commercialized or it is possible to somehow made a profit on it (I also thought about a patent)? Like I said, it looks like algoritm runs faster than AES but I'm not abble to check everything on my own, for example confusion and diffusion of this algoritm is still a mystery to me (but I hope that algoritm will pass all tests). Maybe some of you guys work in cryptography and can give me some advice? Or maybe should I publish it somewhere on the internet and forget about profits or even authorship (because what can I do as nobody in the cryptographic industry)?