Comparison of the Polynomial and Optimal Normal Basis Ecdsa for Gf(2162)

نویسندگان

  • Jan Schmidt
  • Martin Novotný
  • Martin Jäger
  • Miloš Bečvář
  • Michal Jáchim
چکیده

The paper describes FPGA implementation of cryptographic coprocessor performing operations on elliptic curve points with coordinates in GF (2). Polynomial basis and normal basis arithmetic units are presented and compared. Hardware implementation of GCD inversion in polynomial basis is described. Where an optimal normal basis exists, the normal basis arithmetic performs better. The digit width of 6 is shown to give the best area/performance ratio for optimal normal basis arithmetic.

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تاریخ انتشار 2002