Symmetric blind decryption with perfect secrecy
Partala, Juha (2017-08-16)
Juha Partala, “Symmetric Blind Decryption with Perfect Secrecy,” Journal of Computer Networks and Communications, vol. 2017, Article ID 6575907, 15 pages, 2017. doi:10.1155/2017/6575907
Copyright © 2017 Juha Partala. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
https://creativecommons.org/licenses/by/4.0/
https://urn.fi/URN:NBN:fi-fe2017101150052
Tiivistelmä
Abstract
A blind decryption scheme enables a user to query decryptions from a decryption server without revealing information about the plain-text message. Such schemes are useful, for example, for the implementation of privacy-preserving encrypted file storages and payment systems. In terms of functionality, blind decryption is close to oblivious transfer. For noiseless channels, information-theoretically secure oblivious transfer is impossible. However, in this paper, we show that this is not the case for blind decryption. We formulate a definition of perfect secrecy of symmetric blind decryption for the following setting: at most one of the scheme participants is a passive adversary (honest-but-curious). We also devise a symmetric blind decryption scheme based on modular arithmetic on a ring \(\mathbb{Z}_{p^2}\), where \(p\) is a prime, and show that it satisfies our notion of perfect secrecy.
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