Paper 2022/1370

A New Post-Quantum Key Agreement Protocol and Derived Cryptosystem Based on Rectangular Matrices

Hugo Daniel Scolnik, University of Buenos Aires
Juan Pedro Hecht, University of Buenos Aires
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)
PDF
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
Creative Commons Attribution-NonCommercial-NoDerivs
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},
      note = {\url{https://eprint.iacr.org/2022/1370}},
      url = {https://eprint.iacr.org/2022/1370}
}
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