Abstract
By using results and techniques from commutative algebra such as the vanishing ideal of a set of points, its a-invariant, the Hilbert polynomial and series, as well as finite free resolutions and the canonical module, some results about Reed-Muller codes defined on a zero-dimensional complete intersection in the n-projective dimensional space are given. Several examples of this class of codes are presented in order to illustrate the ideas.
| Original language | English |
|---|---|
| Pages (from-to) | 455-462 |
| Number of pages | 8 |
| Journal | Applicable Algebra in Engineering, Communications and Computing |
| Volume | 11 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2001 |
Keywords
- Canonical module
- Complete intersection
- Graded finite free resolution
- Hilbert polynomial
- Reed-Muller code
- Vanishing ideal
- a-invariant of an ideal