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CRYPHTOR: A Memory-Unified NTT-Based Hardware Accelerator for Post-Quantum CRYSTALS Algorithms

Authors: Stefano Di Matteo; Ivan Sarno; Sergio Saponara;

CRYPHTOR: A Memory-Unified NTT-Based Hardware Accelerator for Post-Quantum CRYSTALS Algorithms

Abstract

This paper presents the design and FPGA implementation of a hardware accelerator for the Post-Quantum CRYSTALS-Kyber and CRYSTALS-Dilithium algorithms, named CRYPHTOR (CRYstals Polynomial HW acceleraTOR). The proposed architecture includes a unified memory arrangement and dedicated ALUs for Kyber and Dilithium, capable of accelerating several polynomial operations such as Number Theoretic Transform (NTT), Inverse NTT, Coefficient-Wise Multiplication (CWM), modular addition and subtraction, modular reduction, and the multiply-accumulate operation. CRYPHTOR has been integrated into two SoCs: one based on a 64-bit RISC-V processor and the other on a 32-bit RISC-V microcontroller. In these configurations, up to 26x and 300x of speedup has been obtained for the NTT, and up to 30x and 140x of speedup for the matrix-vector multiplication compared to the software implementation running on the RISC-V processors.

Related Organizations
Keywords

Random access memory; Computer architecture; Quantum computing; Software algorithms; Memory management; Hardware acceleration; Module learning with errors; CRYSTALS-kyber; CRYSTALS-dilithium; FPGA; postquantum cryptography, CRYSTALS-kyber, postquantum cryptography, Module learning with errors, Electrical engineering. Electronics. Nuclear engineering, CRYSTALS-dilithium, FPGA, TK1-9971

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
gold