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2015 | OriginalPaper | Chapter

A High-performance Elliptic Curve Cryptographic Processor for FPGA Platform

Authors : V. R. Venkatasubramani, N. Premkumar, K. Vignesh, S. Rajaram

Published in: Intelligent Computing and Applications

Publisher: Springer India

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Abstract

In this paper, an elliptic curve crypto processor (ECCP) is proposed using an improved quad Itoh–Tsujii algorithm, as primitive, on field-programmable gate arrays (FPGAs) platform for binary fields generated by irreducible trinomials. Efficiency is obtained by eliminating the precomputation steps required in conventional quad Itoh–Tsujii algorithm scheme. Experimental results show that the proposed ECCP architecture has better area-time product compared to existing techniques .

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Literature
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Miller, V.S.: Use of elliptic curves in cryptography. Adv. Cryptol. 218, 417–426 (1986)
2.
3.
Itoh, T., Tsujii, S.: A fast algorithm for computing multiplicative inverse in GF(2 m ) using normal bases. Inf. Comput. 78(3), 171–177 (1988)CrossRefMATHMathSciNet
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Kaliski, B.S.: The montgomery inverse and its applications. IEEE Trans. Comput. 44(8), 1064–1065 (1995)CrossRefMATH
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Chelton, W.N., Benaissa, M.: Fast elliptic curve cryptography on FPGA. IEEE Trans. Very Large Scale Integr. Syst. 16(2), 198–205 (2008)CrossRef
6.
Rebeiro, C., Roy, S.S., Mukhopadhyay, D.: Revisiting the Itoh-Tsujii inversion algorithm for FPGA platforms. IEEE Trans. VLSI Syst. 19(8), 1508–1512 (2011)CrossRef
7.
Venkatasubramani, V.R., Murali, N., Rajaram, S.: An improved quad Itoh–Tsujii algorithm for FPGAs. IEICE Electron. Express 10(18), 1–6 (2013)
Metadata
Title
A High-performance Elliptic Curve Cryptographic Processor for FPGA Platform
Authors
V. R. Venkatasubramani
N. Premkumar
K. Vignesh
S. Rajaram
Copyright Year
2015
Publisher
Springer India
Book
Intelligent Computing and Applications

Print ISBN: 978-81-322-2267-5

Electronic ISBN: 978-81-322-2268-2

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-81-322-2268-2_33

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