From jdb10987@yahoo.com Tue Nov 7 00:44:23 2023 From: jdb10987@yahoo.com To: cypherpunks@lists.ogf.org Subject: Quanta Magazine: Cryptographers Devise an Approach for Total Search Privacy Date: Tue, 07 Nov 2023 00:44:08 -0800 Message-ID: In-Reply-To: MIME-Version: 1.0 Content-Type: multipart/mixed; boundary="===============7644235043531818127==" --===============7644235043531818127== Content-Type: text/plain; charset="utf-8" Content-Transfer-Encoding: 7bit --===============7644235043531818127== Content-Type: text/html Content-Transfer-Encoding: base64 Content-Disposition: attachment; filename="attachment.html" MIME-Version: 1.0 PGRpdiBkaXI9J2F1dG8nPmh0dHBzOi8vd3d3LnF1YW50YW1hZ2F6aW5lLm9yZy9jcnlwdG9ncmFw aGVycy1kZXZpc2UtYW4tYXBwcm9hY2gtZm9yLXRvdGFsLXNlYXJjaC1wcml2YWN5LTIwMjMxMTA2 LyZuYnNwOzwvZGl2Pg== --===============7644235043531818127==-- From gmkarl@gmail.com Tue Nov 7 10:57:13 2023 From: "Undescribed Horrific Abuse, One Victim & Survivor of Many" To: cypherpunks@lists.ogf.org Subject: Re: Quanta Magazine: Cryptographers Devise an Approach for Total Search Privacy Date: Tue, 07 Nov 2023 13:57:02 -0500 Message-ID: In-Reply-To: MIME-Version: 1.0 Content-Type: multipart/mixed; boundary="===============2987010061618028392==" --===============2987010061618028392== Content-Type: text/plain; charset="utf-8" Content-Transfer-Encoding: quoted-printable > Now, three researchers have crafted a long-sought version of private inform= ation retrieval > and extended it to build a more general privacy strategy. The work, which r= eceived a Best > Paper Award in June at the annual Symposium on Theory of Computing, topples= a major > theoretical barrier on the way to a truly private search. https://eprint.iacr.org/2022/1703 # Doubly Efficient Private Information Retrieval and Fully Homomorphic RAM Computation from Ring LWE Wei-Kai Lin, Ethan Mook, Daniel Wichs* Northeastern University and NTT Research December 8, 2022 ## Abstract A _(single server) private information retrieval (PIR)_ allows a client to read data from a public database held on a remote server, without revealing to the server which locations she is reading. In a _doubly efficient PIR (DEPIR)_, the database is first preprocessed, but the server can subsequently answer any client=E2=80=99s query in time that is sub-linear in the database size. Prior work gave a plausible candidate for a _public-key_ variant of DEPIR, where a trusted party is needed to securely preprocess the database and generate a corresponding public key for the clients; security relied on a new non-standard code-based assumption and a heuristic use of ideal obfuscation. In this work we construct the stronger _unkeyed_ notion of DEPIR, where the preprocessing is a deterministic procedure that the server can execute on its own. Moreover, we prove security under just the standard _ring learning-with-errors (RingLWE)_ assumption. For a database of size N and any constant =CE=B5 > 0, the preprocessing run-time and size is O(N^(1+=CE=B5)), while the run-time and communication-complexity of each PIR query is poly log(N). We also show how to update the preprocessed database in time O(N^=CE=B5). Our approach is to first construct a standard PIR where the server=E2=80=99s computation consists of evaluating a multivariate polynomial; we then convert it to a DEPIR by preprocessing the polynomial to allow for fast evaluation, using the techniques of Kedlaya and Umans (STOC =E2=80=9908). Building on top of our DEPIR, we construct general fully _homomorphic encryption for randomaccess machines (RAM-FHE)_, which allows a server to homomorphically evaluate an arbitrary RAM program P over a client=E2=80=99s encrypted input x and the server=E2=80=99s preprocessed plaintext input y to derive an encryption of the output P(x, y) in time that scales with the RAM runtime of the computation rather than its circuit size. Prior work only gave a heuristic candidate construction of a restricted notion of RAM-FHE. In this work, we construct RAM-FHE under the RingLWE assumption with circular security. For a RAM program P with worst-case runtime T, the homomorphic evaluation runs in time T^(1+=CE=B5) =C2=B7 poly log(|x| + |y|). *Research supported by NSF grant CNS-1750795, CNS-2055510 and the Alfred P. Sloan Research Fellowship. https://github.com/zhaowenlan1779/akita-inu # Project Akita Inu This is a toy implementation of the paper [Doubly Efficient Private Information Retrieval and Fully Homomorphic RAM Computation from Ring LWE](https://eprint.iacr.org/2022/1703.pdf). This implementation almost exactly follows the paper, and is not intended, nor expected, to be practically useful. Licensed under MIT. ## Building Please add the `--recursive` flag when cloning this repo, or execute `git submodule update --init --recursive` afterwards. The build system is CMake. 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