Quadratic time $O(n^2)$ Fully Homomorphic public key encryption algorithm based on a unique technique to create p-adic homomorphism from ring X to ring Y

TL;DR

This paper introduces ZK111, a fully homomorphic encryption algorithm operating in quadratic time, utilizing a novel 'color-blind' function to establish p-adic ring homomorphism, enhancing cryptographic capabilities.

Contribution

The paper presents a new fully homomorphic encryption scheme based on a unique p-adic homomorphism technique, differing from existing methods.

Findings

Operates in quadratic time (O(n^2))

Uses a novel 'color-blind' function for security

Establishes p-adic ring homomorphism

Abstract

ZK111 is a fully homomorphic public key encryption algorithm which runs in quadratic time. It's security solely relies upon a very unique 'color-blind' function which is used to create p-adic ring homomorphism.