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Implementing Cryptographic Pairings on Smartcards
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| Abstract: | Pairings on elliptic curves are fast coming of age as cryptographic primitives for deployment in new security applications, particularly in the context of implementations of Identity-Based Encryption (IBE). In this paper we describe the implementation of various pairings on a contemporary 32-bit smart-card, the Philips Hi{P}er{S}mart\texttrademark , an instantiation of the MIPS-32 based Smart{MIPS}\texttrademark architecture. Three types of pairing are considered, first the standard Tate pairing on a nonsupersingular curve $E(\F_p)$, second the Ate pairing, also on a nonsupersingular curve $E(\F_p)$, and finally the $\eta_T$ pairing on a supersingular curve $E(\F_{2^m})$. We demonstrate that pairings can be calculated as efficiently as classic cryptographic primitives on this architecture, with a calculation time of as little as 0.15 seconds. |
BibTeX
@misc{eprint-2006-21637,
title={Implementing Cryptographic Pairings on Smartcards},
booktitle={IACR Eprint archive},
keywords={implementation / Elliptic curves, pairing-based cryptosystems, Fast implementations},
url={http://eprint.iacr.org/2006/144},
note={ mike@computing.dcu.ie 13272 received 12 Apr 2006, last revised 4 May 2006},
author={Michael Scott and Neil Costigan and Wesam Abdulwahab},
year=2006
}