gf256

package
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Published: Aug 20, 2015 License: MPL-2.0 Imports: 1 Imported by: 0

Documentation

Overview

Package gf256 implements arithmetic over the Galois Field GF(256).

Index

Constants

This section is empty.

Variables

This section is empty.

Functions

This section is empty.

Types

type Field

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

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

func NewField

func NewField(poly, α int) *Field

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

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

func (*Field) Add

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

Add returns the sum of x and y in the field.

func (*Field) Exp

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

Exp returns the the base-α 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-α 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 []byte, check []byte)

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

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