TinyGarble: Highly Compressed and Scalable Sequential Garbled Circuits

Abstract

We introduce Tiny Garble, a novel automated methodology based on powerful logic synthesis techniques for generating and optimizing compressed Boolean circuits used in secure computation, such as Yao's Garbled Circuit (GC) protocol. Tiny Garble achieves an unprecedented level of compactness and scalability by using a sequential circuit description for GC. We introduce new libraries and transformations, such that our sequential circuits can be optimized and securely evaluated by interfacing with available garbling frameworks. The circuit compactness makes the memory footprint of the garbling operation fit in the processor cache, resulting in fewer cache misses and thereby less CPU cycles. Our proof-of-concept implementation of benchmark functions using Tiny Garble demonstrates a high degree of compactness and scalability. We improve the results of existing automated tools for GC generation by orders of magnitude, for example, Tiny Garble can compress the memory footprint required for 1024-bit multiplication by a factor of 4,172, while decreasing the number of non-XOR gates by 67%. Moreover, with Tiny Garble we are able to implement functions that have never been reported before, such as SHA-3. Finally, our sequential description enables us to design and realize a garbled processor, using the MIPS I instruction set, for private function evaluation. To the best of our knowledge, this is the first scalable emulation of a general purpose processor.