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An identification system based on the explicit isomorphism problem

Kiss, Sándor and Kutas, Péter (2021) An identification system based on the explicit isomorphism problem. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. ISSN 1432-0622 | 0938-1279 (In Press)

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Abstract

We propose a new identification system based on algorithmic problems related to computing isomorphisms between central simple algebras. We design a statistical zero knowledge protocol which relies on the hardness of computing isomorphisms between orders in division algebras which generalizes a protocol by Hartung and Schnorr, which relies on the hardness of integral equivalence of quadratic forms.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Depositing User: Dr Sándor Kiss
Date Deposited: 20 Sep 2021 11:10
Last Modified: 03 Apr 2023 07:21
URI: http://real.mtak.hu/id/eprint/129820

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