Sigma Identification Protocol Construction Based on MPF Defined over Non-Commuting Platform Group

Autor:	Aleksejus Mihalkovich, Kestutis Luksys, Eligijus Sakalauskas
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	sigma identification protocol matrix power function non-commuting cryptography Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 15, p 2649 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10152649
Popis:	In this paper, we present the construction of a sigma identification protocol based on matrix power function (MPF) defined over a certain non-commuting platform group. We use the previously defined templates for generating public parameters of our protocol to overcome the problem that a two-sided MPF in general is not associative. We prove that the proposed sigma identification protocol is resistant to eavesdropping adversary attacks. Furthermore, relying on the asymptotic knowledge soundness property proven in this paper, we show that our protocol is also resistant against active adversary attacks with an overwhelming probability.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7d71e3f64cb344408c67f8dfe3456019 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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