Catch_.....
 Though you titled as reincarnatio explained but i dont feel it is explained rather it looks defending. You start from the very begining by a question "did we come from nothing?" which is usual way to defend belief system of  all the religions. First u dont say what exactly is nothing meant. Your statement "what about the codings of the whole existance" indicate there is a super coder which means god. When there is a god which can act on all the living and noliving beings then reincarnation it self becomes meaningless. 

You said thoughts and ideas are bound to reincarnate. Does it mean thought and ideas have independent existance? For me they are just process in matter. They are maintained in society all the time thorugh diffrent channels so they dont need to reincarnet. So the idea and thoughts and all the mind process will die when body dies. That is when hard drive dies the programs residing there will have no existance.

I am not accepting or rejecting reincarnation. I am just eager about it. What is it that reincarnate? I am totally unsatisfied with yr logic which is not logic at al.