Elliptic-Curve Point-Multiplication over GF(2163)
Jean‐Pierre Deschamps, Gustavo D. Sutter · 2008
This paper describes algorithms and circuits for executing the point-multiplication operation in the particular case of the K-163 NIST-recommended curve. The circuits have been described in VHDL and implemented within the low cost Spartan-3 FPGA devices. Three point-multiplication algorithms are considered: the basic algorithm, the Montgomery algorithm and an algorithm based on the Frobenius map.