后量子密码CRYSTALS-Kyber的FPGA多路并行优化实现

李斌; 陈晓杰; 冯峰; 周清雷

doi:10.11959/j.issn.1000-436x.2022026

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后量子密码CRYSTALS-Kyber的FPGA多路并行优化实现

学术通信 | 更新时间：2024-06-05

- 后量子密码CRYSTALS-Kyber的FPGA多路并行优化实现
- FPGA multi-unit parallel optimization and implementation of post-quantum cryptography CRYSTALS-Kyber
- 通信学报 2022年43卷第2期页码：196-207
- 作者机构：
  
  1. 郑州大学计算机与人工智能学院，河南郑州 450001
  2. 信息工程大学数学工程与先进计算国家重点实验室，河南郑州 450001
- 作者简介：
  
  [ "李斌（1986-），男，河南郑州人，博士，郑州大学讲师，主要研究方向为信息安全、可重构计算" ]
  [ "陈晓杰（1993-），男，河南武陟人，信息工程大学博士生，主要研究方向为信息安全、可重构计算" ]
  [ "冯峰（1990-），男，河南新乡人，郑州大学博士生，主要研究方向为信息安全" ]
  [ "周清雷（1962-），男，河南新乡人，博士，郑州大学教授，主要研究方向为信息安全、自动机理论和计算复杂性理论" ]
- 基金信息：
  
  国家重点研发计划基金资助项目(2016YFB0800100);国家重点研发计划基金资助项目(2016YFB0800101);国家自然科学基金资助项目(61572444)
- DOI：10.11959/j.issn.1000-436x.2022026
  中图分类号： TP309
- 网络首发：2022-02，
  
  纸质出版：2022-02-25
- 稿件说明：
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李斌, 陈晓杰, 冯峰, 等. 后量子密码CRYSTALS-Kyber的FPGA多路并行优化实现[J]. 通信学报, 2022,43(2):196-207.

Bin LI, Xiaojie CHEN, Feng FENG, et al. FPGA multi-unit parallel optimization and implementation of post-quantum cryptography CRYSTALS-Kyber[J]. Journal on Communications, 2022, 43(2): 196-207.
李斌, 陈晓杰, 冯峰, 等. 后量子密码CRYSTALS-Kyber的FPGA多路并行优化实现[J]. 通信学报, 2022,43(2):196-207. DOI： 10.11959/j.issn.1000-436x.2022026.

Bin LI, Xiaojie CHEN, Feng FENG, et al. FPGA multi-unit parallel optimization and implementation of post-quantum cryptography CRYSTALS-Kyber[J]. Journal on Communications, 2022, 43(2): 196-207. DOI： 10.11959/j.issn.1000-436x.2022026.

摘要

在基于格的后量子密码中，多项式乘法运算复杂且耗时，为提高格密码在实际应用中的运算效率，提出了一种后量子密码CRYSTALS-Kyber的FPGA多路并行优化实现。首先，描述了Kyber算法的流程，分析了NTT、INTT及CWM的执行情况。其次，给出了FPGA的整体结构，采用流水线技术设计了蝶形运算单元，并以Barrett模约简和CWM调度优化，提高了计算效率。同时，放置32个蝶形运算单元并行执行，缩短了整体计算周期。最后，对多RAM通道进行了存储优化，以数据的交替存取控制和RAM资源复用，提高了访存效率。此外，采用松耦合架构，以DMA通信实现了整体运算的调度。实验结果和分析表明，所提方案可在44、49、163个时钟周期内完成NTT、INTT及CWM运算，优于其他方案，具有较高的能效比。

Abstract

In lattice-based post-quantum cryptography

polynomial multiplication is complicated and time-consuming.In order to improve the computational efficiency of lattice cryptography in practical applications

an FPGA multi-unit parallel optimization and implementation of post-quantum cryptography CRYSTALS-Kyber was proposed.Firstly

the flow of Kyber algorithm was described and the execution of NTT

INTT and CWM were analyzed.Secondly

the overall structure of FPGA was given

the butterfly arithmetic unit was designed by pipeline technology

and the Barrett modulus reduction and CWM scheduling optimization were used to improve the calculation efficiency.At the same time

32 butterfly arithmetic units were executed in parallel

which shortens the overall calculation cycle.Finally

the multi-RAM channel was optimized to improve the memory access efficiency with alternate data access control and RAM resource reuse.In addition

with the loosely coupled architecture

the overall operation scheduling was realized by DMA communication.The experimental results and analysis show that the proposed scheme implemented can complete NTT

INTT and CWM operations within 44

and 163 clock cycles

which is superior to other schemes and has high energy efficiency ratio.

关键词

Keywords

references

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