High-speed VLSI design for montgomery inverse over GF(2 m)

Jun Hong Chen, Ming-Der Shieh, Chien Ming Wu

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

Montgomery inversion algorithm has demonstrated its applicability in applications, such as computing point operations in the elliptic curve cryptography. By modifying the conventional Montgomery inversion algorithm, this paper presents an efficient inversion algorithm over Galois Field GF(2 m), which is very suited for hardware implementation. Due to its structural simplicity, the modified algorithm can be easily mapped onto a high-speed and possibly low-complexity circuit. Results show that a significant performance improvement can be achieved in comparison with previous work, especially for applications of cryptosystems.

Original languageEnglish
Pages25-28
Number of pages4
Publication statusPublished - 2004 Dec 1
Event2004 IEEE Asia-Pacific Conference on Circuits and Systems, APCCAS 2004: SoC Design for Ubiquitous Information Technology - Tainan, Taiwan
Duration: 2004 Dec 62004 Dec 9

Other

Other2004 IEEE Asia-Pacific Conference on Circuits and Systems, APCCAS 2004: SoC Design for Ubiquitous Information Technology
CountryTaiwan
CityTainan
Period04-12-0604-12-09

Fingerprint

Cryptography
Hardware
Networks (circuits)

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Chen, J. H., Shieh, M-D., & Wu, C. M. (2004). High-speed VLSI design for montgomery inverse over GF(2 m). 25-28. Paper presented at 2004 IEEE Asia-Pacific Conference on Circuits and Systems, APCCAS 2004: SoC Design for Ubiquitous Information Technology, Tainan, Taiwan.
Chen, Jun Hong ; Shieh, Ming-Der ; Wu, Chien Ming. / High-speed VLSI design for montgomery inverse over GF(2 m). Paper presented at 2004 IEEE Asia-Pacific Conference on Circuits and Systems, APCCAS 2004: SoC Design for Ubiquitous Information Technology, Tainan, Taiwan.4 p.
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abstract = "Montgomery inversion algorithm has demonstrated its applicability in applications, such as computing point operations in the elliptic curve cryptography. By modifying the conventional Montgomery inversion algorithm, this paper presents an efficient inversion algorithm over Galois Field GF(2 m), which is very suited for hardware implementation. Due to its structural simplicity, the modified algorithm can be easily mapped onto a high-speed and possibly low-complexity circuit. Results show that a significant performance improvement can be achieved in comparison with previous work, especially for applications of cryptosystems.",
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Chen, JH, Shieh, M-D & Wu, CM 2004, 'High-speed VLSI design for montgomery inverse over GF(2 m)' Paper presented at 2004 IEEE Asia-Pacific Conference on Circuits and Systems, APCCAS 2004: SoC Design for Ubiquitous Information Technology, Tainan, Taiwan, 04-12-06 - 04-12-09, pp. 25-28.

High-speed VLSI design for montgomery inverse over GF(2 m). / Chen, Jun Hong; Shieh, Ming-Der; Wu, Chien Ming.

2004. 25-28 Paper presented at 2004 IEEE Asia-Pacific Conference on Circuits and Systems, APCCAS 2004: SoC Design for Ubiquitous Information Technology, Tainan, Taiwan.

Research output: Contribution to conferencePaper

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Chen JH, Shieh M-D, Wu CM. High-speed VLSI design for montgomery inverse over GF(2 m). 2004. Paper presented at 2004 IEEE Asia-Pacific Conference on Circuits and Systems, APCCAS 2004: SoC Design for Ubiquitous Information Technology, Tainan, Taiwan.