CiFlow: Dataflow Analysis and Optimization of Key Switching for Homomorphic Encryption
CoRR(2023)
摘要
Homomorphic encryption (HE) is a privacy-preserving computation technique
that enables computation on encrypted data. Today, the potential of HE remains
largely unrealized as it is impractically slow, preventing it from being used
in real applications. A major computational bottleneck in HE is the
key-switching operation, accounting for approximately 70
execution time and involving a large amount of data for inputs, intermediates,
and keys. Prior research has focused on hardware accelerators to improve HE
performance, typically featuring large on-chip SRAMs and high off-chip
bandwidth to deal with large scale data. In this paper, we present a novel
approach to improve key-switching performance by rigorously analyzing its
dataflow. Our primary goal is to optimize data reuse with limited on-chip
memory to minimize off-chip data movement. We introduce three distinct
dataflows: Max-Parallel (MP), Digit-Centric (DC), and Output-Centric (OC), each
with unique scheduling approaches for key-switching computations. Through our
analysis, we show how our proposed Output-Centric technique can effectively
reuse data by significantly lowering the intermediate key-switching working set
and alleviating the need for massive off-chip bandwidth. We thoroughly evaluate
the three dataflows using the RPU, a recently published vector processor
tailored for ring processing algorithms, which includes HE. This evaluation
considers sweeps of bandwidth and computational throughput, and whether keys
are buffered on-chip or streamed. With OC, we demonstrate up to 4.16x speedup
over the MP dataflow and show how OC can save 16x on-chip SRAM by streaming
keys for minimal performance penalty.
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关键词
dataflow analysis,encryption,key switching
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