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Post-Quantum Signature Scheme Based on the Root Extraction Problem over Mihailova Subgroups of Braid Groups

DOAJ
Authors: Hanling Lin, Xiaofeng Wang, Min Li

Year

2023

Paper ID

4658

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

100

Citations

0

Abstract

In this paper, by introducing an isomorphism from the Mihailova subgroup of <inline-formula><math display="inline"><semantics><mrow><msub><mi>F</mi><mn>2</mn></msub><mo>×</mo><msub><mi>F</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula> to the Mihailova subgroups of a braid group, we give an explicit presentation of Mihailova subgroups of a braid group. Hence, in a braid group, there are some Mihailova subgroups experiencing unsolvable subgroup membership problem. Based on this, we propose a post-quantum signature scheme of the Wang–Hu scheme, and we show that the signature scheme is free of quantum computational attack.

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  • In this paper, by introducing an isomorphism from the Mihailova subgroup of F2×F2 to the Mihailova subgroups of a braid group, we give an explicit presentation of Mihailova...

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References & Citation Signals

[1] DOI https://doi.org/10.3390/math11132892 [2] Publisher https://www.mdpi.com/2227-7390/11/13/2892

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