Multichannel algorithm based on generalized positional numeration system

TL;DR

This paper introduces a multichannel algorithm based on generalized positional numeration systems, discussing its theoretical foundations, classifications, and specific properties, including those of Fibonacci-based algorithms.

Contribution

It presents a new multichannel algorithm framework using GPN, including classifications and properties, with a focus on Fibonacci-based implementations.

Findings

Introduces the concept of GPN in multichannel algorithms

Classifies GPN as decompositions of integers

Discusses properties of Fibonacci multichannel algorithms

Abstract

This report is devoted to introduction in multichannel algorithm based on generalized numeration notations (GPN). The internal, external and mixed account are entered. The concept of the GPN and its classification as decomposition of an integer on composed of integers is discussed. Realization of multichannel algorithm on the basis of GPN is introduced. In particular, some properties of Fibonacci multichannel algorithm are discussed.