We present an oblivious machine, a concrete notion for a multiparty random access machine (RAM) computation and a toolchain to allow the efficient execution of general programs written in a subset of C that allows RAM-model computation over the integers. The machine only leaks the list of possible instructions and the running time. Our work is based on the oblivious array for secret-sharing-based multiparty computation by Keller and Scholl (Asiacrypt `14). This means that we only incur a polylogarithmic overhead over the execution on a normal CPU.
We describe an implementation of our construction using the Clang compiler from LLVM project and the SPDZ protocol by Damgård et al. (Crypto `12). The latter provides active security against a dishonest majority and works in the preprocessing model. The online phase clock rate of the resulting machine is 41 Hz for a memory size of 1024 64-bit integers and 2.2 Hz for a memory of 2^20 integers. Both timings have been taken for two parties in a local network. Similar work by other authors has only been in the semi-honest setting.
To further showcase our toolchain, we implemented and benchmarked private regular expression matching. Matching a string of length 1024 against a regular expression with 69270 transitions as a finite state machine takes seven hours online time, of which more than six hours are devoted to loading the reusable program.
↧