Application of Integral Value Transformation (IVT) in a Specialized Computer Network Design

TL;DR

This paper explores the use of Integral Value Transformation (IVT) in designing a specialized computer network, introducing a new routing algorithm that simplifies address calculations based on p-adic IVT systems.

Contribution

It presents a novel application of p-adic IVT systems to network routing, including a rule for pre-image calculation and an efficient routing algorithm.

Findings

The routing algorithm reduces address calculation complexity.

A new rule for finding pth pre-images in p-adic IVT systems.

Application of algebraic results to network design.

Abstract

Integral Value Transformation (IVT) is a family of transformations from N0kto N0. An algebraic result has been established in p-adic IVT systems and an application of the result is described in this paper. The result in this paper provides the rule to find the pth pre image of a natural number for the Collatz like bijective functions in p-adic IVT systems. Using this result a routing algorithm is proposed. This proposed routing algorithm reduces number of address calculation.