An identification system based on the explicit isomorphism problem

December 21, 2018 Β· Declared Dead Β· πŸ› Applicable Algebra in Engineering, Communication and Computing

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Authors SΓ‘ndor Z. Kiss, PΓ©ter Kutas arXiv ID 1812.09130 Category math.RA Cross-listed cs.CR Citations 0 Venue Applicable Algebra in Engineering, Communication and Computing Last Checked 3 months ago
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.
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