H - Electricity – 04 – L
Patent
H - Electricity
04
L
H04L 9/30 (2006.01) G06C 1/00 (2006.01) G06F 7/72 (2006.01) G06F 17/10 (2006.01) H04L 9/00 (2006.01) H04L 9/28 (2006.01)
Patent
CA 2233120
A method for multiplication of a point P on elliptic curve E by a value k in order to derive a point kP comprises the steps of representing the number k as vector of binary digits stored in a register and forming a sequence of point pairs (P1, P2) wherein the point pairs differed most by P and wherein the successive series of point pairs are selected either by computing (2mP,(2m+1)P) from (mP,(m+1)P) or ((2m+1)P,(2m+2)P) from (mP,(m+1)P). The computations may be performed without using the y-coordinate of the points during the computation while allowing the y-coordinate to be extracted at the end of the computations, thus, avoiding the use of inversion operations during the computation and therefore, speeding up the cryptographic processor functions. A method is also disclosed for accelerating signature verification between two parties.
Antipa Adrian
Gallant Robert
Mullin Ronald C.
Vanstone Scott A.
Blake Cassels & Graydon Llp
Certicom Corp.
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