Toom–Cook Initiated High‐Performance Accelerator for RBLWE‐Based Post‐Quantum Cryptography

ABSTRACT With the NIST standardization of post‐quantum cryptography (PQC), lightweight PQC for IoT and edge computing has become a hot topic. The ring‐binary‐learning‐with‐error‐based encryption (RBLWE‐ENC) scheme is a promising candidate. However, it cannot use fast algorithms like the number theoretic transform (NTT) due to its parameter settings. To address this, we present a high‐performance hardware accelerator using the Toom–Cook algorithm. Specifically, we reformulated the polynomial multiplication (PM) using the Toom–Cook algorithm and designed a dedicated hardware architecture. To further increase speed, we integrated multiplexers (MUXes) to create a core computation unit that supports parallel polynomial addition (PA), significantly reducing overall execution time. Through extensive complexity analysis, we verified the efficiency of our design. Results show that our accelerator achieves 2.4× higher throughput and a 0.78× reduction in area‐delay product (ADP) compared to the state‐of‐the‐art. The findings of this work are expected to serve as a useful reference for the ongoing development of lightweight PQC solutions.

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Publication Details

Journal
International Journal of Circuit Theory and Applications
Published
2026-04-15
DOI
https://doi.org/10.1002/cta.70437
Primary Topic
Cryptography and Residue Arithmetic
Type
article
Field-Weighted Citation Impact
0.00
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article

Toom–Cook Initiated High‐Performance Accelerator for RBLWE‐Based Post‐Quantum Cryptography

Shilei Zhao, Jiwen Zheng, Zhiwei Liu, Mingbo Yu et al.
International Journal of Circuit Theory and Applications
Cryptography and Residue Arithmetic
article

Toom–Cook Initiated High‐Performance Accelerator for RBLWE‐Based Post‐Quantum Cryptography

Shilei Zhao, Jiwen Zheng, Zhiwei Liu, Mingbo Yu, Bin Yu, Hai Huang
article en

Abstract

ABSTRACT With the NIST standardization of post‐quantum cryptography (PQC), lightweight PQC for IoT and edge computing has become a hot topic. The ring‐binary‐learning‐with‐error‐based encryption (RBLWE‐ENC) scheme is a promising candidate. However, it cannot use fast algorithms like the number theoretic transform (NTT) due to its parameter settings. To address this, we present a high‐performance hardware accelerator using the Toom–Cook algorithm. Specifically, we reformulated the polynomial multiplication (PM) using the Toom–Cook algorithm and designed a dedicated hardware architecture. To further increase speed, we integrated multiplexers (MUXes) to create a core computation unit that supports parallel polynomial addition (PA), significantly reducing overall execution time. Through extensive complexity analysis, we verified the efficiency of our design. Results show that our accelerator achieves 2.4× higher throughput and a 0.78× reduction in area‐delay product (ADP) compared to the state‐of‐the‐art. The findings of this work are expected to serve as a useful reference for the ongoing development of lightweight PQC solutions.

International Journal of Circuit Theory and Applications
Harbin University of Science and Technology (CN)
Openalex Percentile: Top 8%
Cryptography and Residue Arithmetic
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