Although identity based cryptography offers many functional advantages over conventional public key alternatives, the computational costs are significantly greater. The core computational task is evaluation of a bilinear map, or pairing, over elliptic curves. In this paper we prototype and evaluate polynomial and normal basis field arithmetic on an FPGA device and use it to construct a hardware accelerator for pairings over fields of characteristic three. The performance of our prototype improves roughly ten-fold on previous known hardware implementations and orders of magnitude on the fastest known software implementation. As a result we reason that even on constrained devices one can usefully evaluate the pairing, a fact that gives credence to the idea that identity based cryptography is an ideal partner for identity aware smart-cards.
|Title of host publication||Cryptographic Hardware and Embedded Systems - CHES 2005|
|Publisher||Springer Berlin Heidelberg|
|Publication status||Published - 2005|
Grabher, P., & Page, D. (2005). Hardware acceleration of the Tate pairing in characteristic three. In Cryptographic Hardware and Embedded Systems - CHES 2005 (Vol. 3659, pp. 398-411). Springer Berlin Heidelberg.