Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cayley-Bacharach and evaluation codes on complete intersections   In recent work, J. Hansen uses cohomological methods to find a lower bound
for the minimum distance of an evaluation code determined by a reduced complete
intersection in the projective plane. In this paper, we generalize Hansen's
results from P^2 to P^m; we also show that the hypotheses in Hansen's work may
be weakened. The proof is succinct and follows by combining the
Cayley-Bacharach theorem and bounds on evaluation codes obtained from reduced
zero-schemes.

21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat