Paper 2022/1370 Original: eprint.iacr.org/2022/1370 ↗

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

Hugo Daniel Scolnik
Juan Pedro Hecht
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.
History
2022-11-23: last updated
2022-10-12: published
Short URL
https://ia.cr/2022/1370
License
https://creativecommons.org/licenses/by-nc-nd/4.0/

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}
}
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