Attaining Fully Homomorphic Encryption through Private Information Retrieval
homomorphic encryption, learning with errors, private information retrieval
Beschreibung
A fully homomorphic encryption (FHE) scheme is an encryption scheme which enables performing arbitrary operations on plaintexts in their encrypted form.
Private Information Retrieval (PIR) is the problem of retrieving a desired data from a database while preventing the database server from finding out the retrieved data.
The goal of this thesis/project is to understand and analyze how to obtain FHE from any PIR scheme [1], [3].
References:
[1] S. Halevi, ‘Homomorphic Encryption’, Y. Lindell, Ed., in Information Security and Cryptography. Cham: Springer International Publishing, 2017, pp. 219–276. doi: 10.1007/978-3-319-57048-8_5.
[2] Z. Brakerski and V. Vaikuntanathan, ‘Efficient Fully Homomorphic Encryption from (Standard) LWE’, in 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, Palm Springs, CA, USA: IEEE, Oct. 2011, pp. 97–106. doi: 10.1109/FOCS.2011.12.
[3] V. Vaikuntanathan, ‘Computing Blindfolded: New Developments in Fully Homomorphic Encryption’, in 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science, Oct. 2011, pp. 5–16. doi: 10.1109/FOCS.2011.98.
[4] ‘Fully Homomorphic Encryption from Ring-LWE and Security for Key Dependent Messages’, in Lecture Notes in Computer Science, Berlin, Heidelberg: Springer Berlin Heidelberg, 2011, pp. 505–524. doi: 10.1007/978-3-642-22792-9_29.
[5] Y. Ishai and A. Paskin, “Evaluating branching programs on encrypted data,” in TCC, ser. Lecture Notes in Computer Science, S. P. Vadhan, Ed., vol. 4392. Springer, 2007, pp. 575–594.
Voraussetzungen
Security in Communications and Storage