# Pell Coding and Pell Decoding Methods with Some Applications

## TL;DR

This paper introduces new coding and decoding methods based on generalized Pell numbers, establishing relations for error detection and correction, and proposing two blocking algorithms utilizing Pell and generalized Pell numbers.

## Contribution

It presents novel Pell-based coding and decoding techniques, along with new algorithms for data blocking, expanding the applications of Pell numbers in coding theory.

## Key findings

- New Pell coding and decoding methods developed.
- Relations among code matrix elements for error detection and correction established.
- Two new blocking algorithms using Pell numbers introduced.

## Abstract

We obtain a new coding and decoding method using the generalized Pell $(p,i)$ -numbers. The relations among the code matrix elements, error detection and correction have been established for this coding theory. We give two new blocking algorithms using Pell numbers and generalized Pell $(p,i)$-numbers.