DOAJ Open Access 2023

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

Hanling Lin Xiaofeng Wang Min Li

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Hanling Lin

Xiaofeng Wang

Min Li

Format Sitasi

APA MLA BibTeX

Lin, H., Wang, X., Li, M. (2023). Post-Quantum Signature Scheme Based on the Root Extraction Problem over Mihailova Subgroups of Braid Groups. https://doi.org/10.3390/math11132892

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/math11132892
Akses: Open Access ✓