High-Speed, Area-Efficient, FPGA-Based Elliptic Curve Cryptographic Processor over NIST Binary Fields

Md Selim Hossain, Ehsan Saeedi, Yinan Kong

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

8 Citations (Scopus)

Abstract

In this paper we propose a high-performance FPGA-based implementation of an elliptic curve cryptographic (ECC) processor over binary field GF(2m) for modern cryptographic applications. A high-speed elliptic curve scalar multiplier (ECSM) is designed using an efficient finite-field arithmetic unit, where ECSM is the main operation of an ECC processor. It has been implemented in an affine coordinate system using a polynomial basis. The implemented design is synthesized in field-programmable gate array (FPGA) technology. The ECSM time in a modern Xilinx Kintex-7 FPGA is 2.66 ms at 255.66 MHz and 5.54 ms at 251.98 MHz for the field size of GF(2233) and GF(2283) respectively. Simulation results show that the implemented design is area-efficient, as it contains only 3016 slices for the field F2233 and 4625 slices for the field F2283. To the best of the authors' knowledge, the proposed ECC processor shows better performance than the available hardware implementations.

Original languageEnglish
Title of host publicationProceedings
Subtitle of host publication2015 IEEE international conference on data science and data intensive systems; the eighth IEEE international conference cyber, physical and social computing; the eleventh IEEE international conference on green computing and communications and the eighth IEEE international conference on internet of things
EditorsJinjun Chen, Laurence T. Yang
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages175-181
Number of pages7
ISBN (Electronic)9781509002146
DOIs
Publication statusPublished - 2015
Event2015 IEEE International Conference on Data Science and Data Intensive Systems; 8th IEEE International Conference Cyber, Physical and Social Computing; 11th IEEE International Conference on Green Computing and Communications and 8th IEEE International Conference on Internet of Things, DSDIS/CPSCom/GreenCom/iThings 2015 - Sydney, Australia
Duration: 11 Dec 201513 Dec 2015

Other

Other2015 IEEE International Conference on Data Science and Data Intensive Systems; 8th IEEE International Conference Cyber, Physical and Social Computing; 11th IEEE International Conference on Green Computing and Communications and 8th IEEE International Conference on Internet of Things, DSDIS/CPSCom/GreenCom/iThings 2015
CountryAustralia
CitySydney
Period11/12/1513/12/15

Keywords

  • Elliptic curve cryptography (ECC)
  • elliptic curve scalar multiplication (ECSM)
  • field-programmable gate-array (FPGA)
  • finite-field arithmetic (FFA)
  • National Institute of Standards and Technology (NIST)
  • public-key cryptography (PKC)

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