If you have an idea for how to do this robustly but which needs a non-standard deck of cards, that is fine, please share your idea!
The important thing is that the final encoding is solely in terms of a permutation of M physical objects (in the example M = 54) and that such an encoding stores information about a permutation of N objects (in the example N = 13) with some robustness against errors.
Maybe you have a clever way of doing it with a permutation of polynomials or something crazy like that?
Mphysical objects (in the exampleM = 54) and that such an encoding stores information about a permutation ofNobjects (in the exampleN = 13) with some robustness against errors.