Group key management based on semigroup actions

TL;DR

This paper introduces a suite of group key management protocols utilizing semigroup actions, emphasizing distributed construction, potential security improvements, and security based on the hardness of the semigroup action problem.

Contribution

It presents novel protocols for group key management based on semigroup actions, with distributed construction and security considerations.

Findings

Protocols enhance security and communication efficiency in some cases

Security relies on the hardness of the semigroup action problem

Distributed and collaborative key construction is feasible

Abstract

In this work we provide a suite of protocols for group key management based on general semigroup actions. Construction of the key is made in a distributed and collaborative way. Examples are provided that may in some cases enhance the security level and communication overheads of previous existing protocols. Security against passive attacks is considered and depends on the hardness of the semigroup action problem in any particular scenario.