Welcome to the resource topic for 2006/144
Title:
Implementing Cryptographic Pairings on Smartcards
Authors: Michael Scott, Neil Costigan, Wesam Abdulwahab
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.
ePrint: https://eprint.iacr.org/2006/144
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