## You are here

Homeeven code

## Primary tabs

# even code

A binary code is called *even* if the Hamming weight of all its
codewords is even. Furthermore, a binary code is called
*doubly-even* if the Hamming weight of all its codewords is
divisible by $4$. An even code which is not doubly-even is said to be
*strictly even*.

Examples of doubly-even codes are the extended binary Hamming code of block length $8$ and the extended binary Golay code of block length $24$. These two codes are, in addition, self-dual.

Defines:

doubly-even code, strictly even code

Keywords:

code, even, doubly even, strictly even

Related:

LinearCode

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

94B05*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff