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Arithmetic of the Group of Elliptic Curve Points

This section describes the Intel IPP functions that implement arithmetic operations with points of elliptic curves [EC]. The elliptic curve is defined by the following equation:
y
2
=
x
3
+
A
x
+
B
where
  • A
    and
    B
    are the parameters of the curve
  • x
    and
    y
    are the coordinates of a point on the curve
This document considers elliptic curves constructed over the finite field GF(
p
) (prime or its extension), therefore the arithmetic of elliptic curves is based on the arithmetic of the underlying finite field. In the equation above,
A, B, x,
and
y
belong to the underlying field GF(
p
).

Product and Performance Information

1

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