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