gf256

package
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Published: Sep 2, 2023 License: MIT Imports: 1 Imported by: 0

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Types

type Field

type Field struct {
	// contains filtered or unexported fields
}

Field represents an instance of GF(256) defined by a specific polynomial.

func NewField

func NewField(poly, alpha int) *Field

NewField returns a new field corresponding to the polynomial poly and generator alpha. The Reed-Solomon encoding in QR codes uses polynomial 0x11d with generator 2.

The choice of generator alpha only affects the Exp and Log operations.

func (*Field) Exp

func (f *Field) Exp(e int) byte

Exp returns the base-alpha exponential of e in the field. If e < 0, Exp returns 0.

func (*Field) Inv

func (f *Field) Inv(x byte) byte

Inv returns the multiplicative inverse of x in the field. If x == 0, Inv returns 0.

func (*Field) Log

func (f *Field) Log(x byte) int

Log returns the base-alpha logarithm of x in the field. If x == 0, Log returns -1.

func (*Field) Mul

func (f *Field) Mul(x, y byte) byte

Mul returns the product of x and y in the field.

type RSEncoder

type RSEncoder struct {
	// contains filtered or unexported fields
}

An RSEncoder implements Reed-Solomon encoding over a given field using a given number of error correction bytes.

func NewRSEncoder

func NewRSEncoder(f *Field, c int) *RSEncoder

NewRSEncoder returns a new Reed-Solomon encoder over the given field and number of error correction bytes.

func (*RSEncoder) ECC

func (rs *RSEncoder) ECC(data, check []byte)

ECC writes to check the error correcting code bytes for data using the given Reed-Solomon parameters.

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