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Mathematics > Rings and Algebras

arXiv:1812.09130 (math)
[Submitted on 21 Dec 2018 (v1), last revised 17 Sep 2021 (this version, v3)]

Title:An identification system based on the explicit isomorphism problem

Authors:Sándor Z. Kiss, Péter Kutas
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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.
Comments: accepted to Applicable Algebra in Engineering, Communication and Computing
Subjects: Rings and Algebras (math.RA); Cryptography and Security (cs.CR)
Cite as: arXiv:1812.09130 [math.RA]
  (or arXiv:1812.09130v3 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.1812.09130

Submission history

From: Péter Kutas [view email]
[v1] Fri, 21 Dec 2018 14:12:20 UTC (12 KB)
[v2] Sun, 13 Jan 2019 20:54:04 UTC (12 KB)
[v3] Fri, 17 Sep 2021 06:00:21 UTC (25 KB)
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