Group ring cryptography: Cryptography, key exchange, public key
This work addresses cryptographic security for general applications, but appears incremental as it builds on existing group ring techniques.
The paper tackles the problem of cryptographic security by introducing new cryptographic schemes based on group ring techniques, resulting in easily implemented and highly secure systems that can be integrated with error-correcting coding for simultaneous encryption and decoding.
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.