Abstract

Let Fq be a finite field with q elements, ƒ ∈ Fq(x) a rational function over Fq, and D ⊆ Fq the domain of definition of ƒ. Consider three notions of "permutation functions": ƒ is a permutation on Fq, or on D, or ƒ is injective on D. For each of these, a random polynomial-time test is presented. For the image size of an arbitrary rational function, a fully polynomial-time randomized approximation scheme is given.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call