Pell coding and pell decoding methods with some applications

Abstract

We develop a new coding and decoding method using the generalized Pell (p, i)-numbers for p = 1. The relations among the code matrix elements, error detection, and correction have been established for coding theory when p = i = 1. We give two new blocking algorithms using Pell numbers and generalized Pell (p, i)-numbers for p = 1.