A Vendor-Neutral Unified Core for Cryptographic Operations in GF(p) and GF() Based on Montgomery Arithmetic

Algorithm 8

Core EC Point Addition.

Requires: (, , , , , , , )

Calculates: (, , )

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if    then

  then

Notify:

Point_at_Infinity ();

else

Perform: PointDoubling Operation;

else

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Provides: (, , )