On convex polytopes of distributions preserved by finite field operations
Abstract:
We construct families of polytopes in the space of probability distributions over a finite field, which are preserved, i.e. when adding or multiplying independent random variables with distributions from the constructed set, one obtains a result whose distribution belongs to the set as well.
Keywords:
random variable, finite field, preserved set, convex polytope
Publication language:russian/english, pages:10/9
Research direction:
Mathematical problems and theory of numerical methods