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Reconfigurable Computing Approach for Tate Pairing Cryptosystems over Binary Fields
September 2009 (vol. 58 no. 9)
pp. 1221-1237
ASCII Text
x 
 
Chang Shu, Soonhak Kwon, Kris Gaj, "Reconfigurable Computing Approach for Tate Pairing Cryptosystems over Binary Fields," IEEE Transactions on Computers, vol. 58, no. 9, pp. 1221-1237, September, 2009.
 
 
BibTex
x
 
@article{ 10.1109/TC.2009.64,
author = {Chang Shu and Soonhak Kwon and Kris Gaj},
title = {Reconfigurable Computing Approach for Tate Pairing Cryptosystems over Binary Fields},
journal ={IEEE Transactions on Computers},
volume = {58},
number = {9},
issn = {0018-9340},
year = {2009},
pages = {1221-1237},
doi = {http://doi.ieeecomputersociety.org/10.1109/TC.2009.64},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - Reconfigurable Computing Approach for Tate Pairing Cryptosystems over Binary Fields
IS - 9
SN - 0018-9340
SP1221
EP1237
EPD - 1221-1237
A1 - Chang Shu,
A1 - Soonhak Kwon,
A1 - Kris Gaj,
PY - 2009
KW - Tate pairing
KW - elliptic curve
KW - reconfigurable computing
KW - field-programmable gate arrays (FPGAs)
KW - finite field.
VL - 58
JA - IEEE Transactions on Computers
ER -
 
Chang Shu, George Mason University, Fairfax
Soonhak Kwon, Sungkyunkwan University, Suwon
Kris Gaj, George Mason University, Fairfax
Tate-pairing-based cryptosystems, because of their ability to be used in multiparty identity-based key management schemes, have recently emerged as an alternative to traditional public key cryptosystems. Due to the inherent parallelism of the existing pairing algorithms, high performance can be achieved via hardware realizations. Three schemes for Tate pairing computations have been proposed in the literature: cubic elliptic, binary elliptic, and binary hyperelliptic. In this paper, we propose a new FPGA-based architecture of the Tate-pairing-based computation over binary fields. Even though our field sizes are larger than in the architectures based on cubic elliptic curves or binary hyperelliptic curves with the same security strength, nevertheless fewer multiplications in the underlying field need to be performed. As a result, the computational latency for a pairing computation has been reduced, and our implementation runs 2-20 times faster than the equivalent implementations of other pairing-based schemes at the same level of security strength. Furthermore, we ported our pairing designs for eight field sizes ranging from 239 to 557 bits to the reconfigurable computer, SGI Altix 4700 supported by Silicon Graphics, Inc., and performance and cost are demonstrated.

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Index Terms:
Tate pairing, elliptic curve, reconfigurable computing, field-programmable gate arrays (FPGAs), finite field.
Citation:
Chang Shu, Soonhak Kwon, Kris Gaj, "Reconfigurable Computing Approach for Tate Pairing Cryptosystems over Binary Fields," IEEE Transactions on Computers, vol. 58, no. 9, pp. 1221-1237, Sept. 2009, doi:10.1109/TC.2009.64
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