# Number - Gf(2) - Galois Field 2

### Table of Contents

## About

Galois Field 2 has just two elements: 0 and 1

Usual algebraic laws still hold, e.g. multiplication distributes over addition

## Articles Related

## Operation

### Addition

### Subtraction

Adding is the same than subtracting in gf2.

### Multiplication

Multiplication is like ordinary multiplication

x | 0 | 1 |
---|---|---|

0 | 0 | 0 |

1 | 0 | 1 |

## cryptosystem

The probability distribution of the cyphertext does not depend on the plaintext.

Idea is the basis for cryptosystem: the one-time pad. If each bit is encrypted with its own one-bit key, the cryptosystem is unbreakable