Group ring cryptography: Cryptography, key exchange, public key

TL;DR

This paper introduces new cryptographic schemes based on group ring techniques that enable secure key exchange, authentication, and signature functionalities, with potential integration into error-correcting codes for efficient simultaneous encryption and decoding.

Contribution

It presents novel group ring-based cryptographic schemes that are easy to implement, highly secure, and adaptable for various cryptographic and coding applications.

Findings

Schemes are highly secure and easily implemented.

Supports one-time and ephemeral keys.

Can be integrated with error-correcting codes for simultaneous encryption and decoding.

Abstract

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are easily established. Authentication and signature schemes are implemented. The schemes are an advance on group ring techniques and are easily implemented but highly secure. They may be integrated with error-correcting coding schemes so that encryption/coding and decryption/decoding may be done simultaneously.