Version 1
: Received: 1 April 2024 / Approved: 1 April 2024 / Online: 2 April 2024 (03:08:21 CEST)
How to cite:
Durcheva, M.; Danilchenko, K. Secure Key Exchange in Tropical Cryptography: Leveraging Efficiency with Advanced Block Matrix Protocols. Preprints2024, 2024040123. https://doi.org/10.20944/preprints202404.0123.v1
Durcheva, M.; Danilchenko, K. Secure Key Exchange in Tropical Cryptography: Leveraging Efficiency with Advanced Block Matrix Protocols. Preprints 2024, 2024040123. https://doi.org/10.20944/preprints202404.0123.v1
Durcheva, M.; Danilchenko, K. Secure Key Exchange in Tropical Cryptography: Leveraging Efficiency with Advanced Block Matrix Protocols. Preprints2024, 2024040123. https://doi.org/10.20944/preprints202404.0123.v1
APA Style
Durcheva, M., & Danilchenko, K. (2024). Secure Key Exchange in Tropical Cryptography: Leveraging Efficiency with Advanced Block Matrix Protocols. Preprints. https://doi.org/10.20944/preprints202404.0123.v1
Chicago/Turabian Style
Durcheva, M. and Kiril Danilchenko. 2024 "Secure Key Exchange in Tropical Cryptography: Leveraging Efficiency with Advanced Block Matrix Protocols" Preprints. https://doi.org/10.20944/preprints202404.0123.v1
Abstract
In the quest for robust and efficient digital communication, this paper introduces cutting-edge key exchange protocols leveraging tropical semirings’ computational prowess and block matrices’ structural resilience. Moving away from the conventional use of finite fields, these protocols deliver markedly faster processing speeds and heightened security. We present two implementations of our concept, each utilizing a different platform for the set of commuting matrices: one employing tropical polynomials of matrices and the other employing Linde-de la Puente matrices. The inherent simplicity of tropical semirings leads to a decrease in operational complexity, and using block matrices enhances our protocols’ security profile. The security of these protocols relies on the Matrix Decomposition Problem. We also provide a comparative analysis of our protocols against existing matrix block-based protocols in finite fields. This research marks a significant shift in cryptographic protocol design, specifically tailored for demanding engineering applications, and sets a new standard in secure and efficient digital communication.
Keywords
Key Exchange Protocol; Tropical Semiring; Block Matrices; Polynomial of matrices; Linde-de la Puente matrices
Subject
Computer Science and Mathematics, Security Systems
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
