GF(2^m) Arithmetic Functions

Operations over GF(2^m) provide a basis for the functionality of Intel IPP for data integrity. The target data type for the data integrity domain is byte. Therefore, the implementation of the GF(2^m) arithmetic is limited to 1<m<=8.

The table below lists the Intel IPP GF(2^m) arithmetic functions.

Intel IPP GF(2^m) Arithmetic Functions
Function Base Name	Operation
GFGetSize	Gets the size of the IppsGFSpec_8u context.
GFInit	Initializes user-supplied memory as IppsGFSpec_8u context for future use.
GFAdd	Adds two elements of a finite field.
GFSub	Subtracts one element of a finite field from another.
GFMul	Multiplies two elements of a finite field.
GFDiv	Divides one element of a finite field by another.
GFPow	Raises an element of a finite field to a power.
GFInv	Computes a multiplicative inverse for an element of a finite field.
GFNeg	Computes an additive inverse for an element of a finite field.
GFLogAlpha	Computes the logarithm to the primitive-element base for an element of a finite field.
GFExpAlpha	Raises the primitive element of a finite field to a power.

The functions described in this section use the context of the IppsGFSpec_8u type, which carries the definition of the finite field as well as a working buffer sufficient for arithmetic operations over the field.