Qusicryslals in Vernam cipher

TL;DR

This paper introduces a novel modification of the Vernam cipher utilizing one-dimensional quasicrystals, offering a secure and efficient one-time pad based on their unique aperiodic properties.

Contribution

It presents a new cryptographic method that leverages quasicrystal properties to improve the Vernam cipher with a shorter, yet secure, key.

Findings

The quasicrystal-based key is strictly aperiodic.

The method provides a short, unique key for encryption.

Enhanced security due to quasicrystal properties.

Abstract

We propose a modification of the classical Vernam cipher based on properties of one-dimensional quasicrystals. The method uses the sequence of quasicrystal minimal distances as an one-time pad. The main advantages are strict aperiodicity of such sets and rather short key that uniquely defines quasicrystal.