Welcome to the resource topic for 2022/1303
Title:
Towards perfect CRYSTALS in Helium
Authors: Hanno Becker, Fabien Klein
Abstract:In this work, we present a tool for the automated super optimization of Armv8.1-M + Helium assembly on Cortex-M55. It consists of two parts: Firstly, a generic framework SLOTHY - [S]uper ([L]azy) [O]ptimization of [T]ricky [H]andwritten assembl[Y] - for expressing the super optimization of small pieces of assembly as a constraint satisfaction problem which can be handed to an external solver – concretely, we pick CP-SAT from Google OR-Tools. Secondly, an instantiation Helight55 of SLOTHY with the Armv8.1-M architecture and aspects of the Cortex-M55 microarchitecture. We demonstrate the power of SLOTHY and Helight55 by using it to optimize two workloads: First, a radix-4 complex Fast Fourier Transform (FFT) in fixed-point arithmetic, fundamental in Digital Signal Processing. Second, the instances of the Number Theoretic Transform (NTT) underlying CRYSTALS-Kyber and CRYSTALS-Dilithium, two recently announced winners of the NIST Post-Quantum Cryptography standardization project.
ePrint: https://eprint.iacr.org/2022/1303
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