Paper 2022/1370
A New Post-Quantum Key Agreement Protocol and Derived Cryptosystem Based on Rectangular Matrices
Abstract
In this paper, we present an original algorithm to generate session keys and a subsequent generalized ElGamal-type cryptosystem. The scheme presented here has been designed to prevent both linear and brute force attacks using rectangular matrices and to achieve high complexity. Our algorithm includes a new generalized Diffie-Hellmann scheme based on rectangular matrices and polynomial field operations. Two variants are presented, the first with a double exchange between the parties and the second with a single exchange, thus speeding up the generation of session keys.
Metadata
- Available format(s)
- Category
- Cryptographic protocols
- Publication info
- Preprint.
- Keywords
- KEP GDHP non-commutative algebraic cryptography post-quantum cryptography rectangular matrices
- Contact author(s)
-
hugo @ dc uba ar
qubit101 @ gmail com - History
- 2022-11-23: last of 7 revisions
- 2022-10-12: received
- See all versions
- Short URL
- https://ia.cr/2022/1370
- License
-
CC BY-NC-ND
BibTeX
@misc{cryptoeprint:2022/1370, author = {Hugo Daniel Scolnik and Juan Pedro Hecht}, title = {A New Post-Quantum Key Agreement Protocol and Derived Cryptosystem Based on Rectangular Matrices}, howpublished = {Cryptology {ePrint} Archive, Paper 2022/1370}, year = {2022}, url = {https://eprint.iacr.org/2022/1370} }