Generator Matrix - Equivalent Codes

Equivalent Codes

Codes C₁ and C₂ are equivalent (denoted C₁ ~ C₂) if one code can be created from the other via the following two transformations:

1. permute components, and
2. scale components.

Equivalent codes have the same distance.

The generator matrices of equivalent codes can be obtained from one another via the following transformations:

1. permute rows
2. scale rows
3. add rows
4. permute columns, and
5. scale columns.