Homomorphic Encryption and Some Black Box Attacks

DOI10.1007/978-3-030-52200-1_11zbMath1503.94026arXiv1709.01169OpenAlexW3046449215MaRDI QIDQ5039562

Şükrü Yalçınkaya, Alexandre V. Borovik

Publication date: 13 October 2022

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01169

zbMATH Keywords

probabilistic methodshomomorphic encryptionblack box groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Cryptography (94A60)

Uses Software

• GAP

Cites Work

• Black box groups isomorphic to \(\mathrm{PGL}(2,2^e)\).
• Adjoint representations of black box groups \(\operatorname{PSL}_2(\mathbb{F}_q)\)
• Practical homomorphic encryption over the integers for secure computation in the cloud
• New Approaches in Black Box Group Theory
• Implementing Gentry’s Fully-Homomorphic Encryption Scheme
• Algorithms for Black-Box Fields and their Application to Cryptography
• Finding Isomorphisms Between Finite Fields
• Black-Box Extension Fields and the Inexistence of Field-Homomorphic One-Way Permutations
• The Complexity of Black-Box Ring Problems
• Fully homomorphic encryption using ideal lattices

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