I have an idea for a new approximation method. I am pretty sure that it works, but I don't know how well it works compared to the existing methods. However, I do not have a lot of time to pursue the idea.
I am thinking of asking my supervisors if they could give that idea to an undergraduate student so that they could evaluate the performance of the method on the datasets I provide. They do not need to implement anything, as I will supply the Python code of the method. They need to report the results to me and do some writing, and I will summarize the results and proofread their writing. This will probably lead to their bachelor's dissertation, and we will probably publish a paper based on the findings.
Is it ethical if I claim first authorship for the paper?