In this note, we give a very simple description of the generalized Hamming weights of Reed–Muller codes. For this purpose, we generalize the well-known Macaulay representation of a nonnegative integer and state some of its basic properties.
|Journal||Applicable Algebra in Engineering, Communications and Computing|
|Publication status||Published - 1 Jan 2018|
- Generalized Hamming weight
- Macaulay decomposition
- Reed–Muller code