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 . 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 and the extended binary Golay code of block length . These two codes are, in addition, self-dual.
| Title | even code |
|---|---|
| Canonical name | EvenCode |
| Date of creation | 2013-03-22 15:15:42 |
| Last modified on | 2013-03-22 15:15:42 |
| Owner | GrafZahl (9234) |
| Last modified by | GrafZahl (9234) |
| Numerical id | 4 |
| Author | GrafZahl (9234) |
| Entry type | Definition |
| Classification | msc 94B05 |
| Related topic | LinearCode |
| Defines | doubly-even code |
| Defines | strictly even code |