gf256

func Add ¶

func Add(a, b uint8) uint8

Add performs addition in GF(2^8), which is just XOR

func Divide ¶

func Divide(a, b uint8) uint8

Divide performs division in GF(2^8): a/b = a * b^(-1)

func GenerateInverseTable ¶

func GenerateInverseTable() [256]uint8

GenerateInverseTable creates a 256-element lookup table for multiplicative inverses

func GenerateMultiplicationTable ¶

func GenerateMultiplicationTable() [256][256]uint8

GenerateMultiplicationTable creates a 256x256 lookup table for multiplication

func InterpolatePolynomial ¶

func InterpolatePolynomial(xSamples, ySamples []uint8, x uint8) uint8

InterpolatePolynomial takes N sample points and returns the value at a given x using a lagrange interpolation.

func Inverse ¶

func Inverse(a uint8) uint8

Inverse returns multiplicative inverse in GF(2^8) using the Extended Euclidean Algorithm

func InverseDo ¶

func InverseDo(a uint8) uint8

InverseDo calculates the multiplicative inverse in GF(2^8) using the Extended Euclidean Algorithm

func Multiply ¶

func Multiply(a, b uint8) uint8

Multiply performs multiplication in GF(2^8)

func MultiplyDo ¶

func MultiplyDo(a, b uint8) uint8

func PolynomialEvaluate ¶

func PolynomialEvaluate(coefficients PolynomialCoefficients, x uint8) uint8

PolynomialEvaluate returns the value of the polynomial for the given x using Horner's method for efficient computation.

func Subtract ¶

func Subtract(a, b uint8) uint8

Subtract in GF(2^8) is the same as addition (XOR)