Hardware architectures for the Tate pairing over GF(2m)

  • Authors:
  • Maurice Keller;Robert Ronan;William Marnane;Colin Murphy

  • Affiliations:
  • Department of Electrical and Electronic Engineering, University College Cork, Cork City, Ireland;Department of Electrical and Electronic Engineering, University College Cork, Cork City, Ireland;Department of Electrical and Electronic Engineering, University College Cork, Cork City, Ireland;Department of Electrical and Electronic Engineering, University College Cork, Cork City, Ireland

  • Venue:
  • Computers and Electrical Engineering
  • Year:
  • 2007

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Abstract

In this paper two different approaches to the design of a reconfigurable Tate pairing hardware accelerator are presented. The first uses macro components based on a large, fixed number of underlying Galois Field arithmetic units in parallel to minimise the computation time. The second is an area efficient approach based on a small, variable number of underlying components. Both architectures are prototyped on an FPGA. Timing results for each architecture with various different design parameters are presented.