Public Key Protocol Based on Amalgamated Free Product

TL;DR

This paper introduces a new public key protocol leveraging an amalgamated free product of braid and Thompson groups, aiming to enhance cryptographic security through complex algebraic structures.

Contribution

It presents a novel cryptographic protocol based on amalgamated free products of algebraic groups, expanding the algebraic foundations of public key cryptography.

Findings

Proposes a new algebraic structure for cryptography.

Defines a protocol inspired by Diffie-Hellman using amalgamated free products.

Lays groundwork for further security analysis of the protocol.

Abstract

In the spirit of Diffie Hellman the concept of a protocol algebra is introduced using certain amalgamated free product of Braid group B and Thompson group T together with a nilpotent subgroup H of index 2.