An overview of torus fully homomorphic encryption

Ferrara, Maria; Tortora, Antonio; Tota, Maria

doi:10.22108/ijgt.2023.139030.1869

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	An overview of torus fully homomorphic encryption
International Journal of Group Theory
مقاله 3، دوره 14، شماره 2، شهریور 2025، صفحه 59-73 اصل مقاله (448.42 K)
نوع مقاله: Ischia Group Theory 2022
شناسه دیجیتال (DOI): 10.22108/ijgt.2023.139030.1869
نویسندگان
Maria Ferrara¹؛ Antonio Tortora^* ¹؛ Maria Tota²
¹Dipartimento di Matematica e Fisica, Università della Campania “Luigi Vanvitelli”, viale Lincoln, 5 - 81100, Italy
²Dipartimento di Matematica, Università di Salerno, via Giovanni Paolo II, 132 - 84084 - Fisciano (SA), Italy
چکیده
The homomorphic encryption allows us to operate on encrypted data, making any action less vulnerable to hacking. The implementation of a fully homomorphic cryptosystem has long been impracticable. A breakthrough was achieved only in 2009 thanks to Gentry [C. Gentry, Fully homomorphic encryption using ideal lattices, STOC '09: Proceedings of the forty-first annual ACM symposium on Theory of computing, Association for Computing Machinery, New York, (2009) 169--178.] with his innovative idea of bootstrapping. TFHE is a torus-based fully homomorphic cryptosystem using the bootstrapping technique. This paper aims to present TFHE from an algebraic point of view.
کلیدواژه‌ها
TFHE؛ fully homomorphic encryption؛ bootstrapping؛ learning with errors

مراجع
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An overview of torus fully homomorphic encryption