TY - JOUR
T1 - Reed-Muller codes on complete intersections
AU - Duursma, I. M.
AU - Rentería, C.
AU - Tapia-Recillas, H.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
KW - Canonical module
KW - Complete intersection
KW - Graded finite free resolution
KW - Hilbert polynomial
KW - Reed-Muller code
KW - Vanishing ideal
KW - a-invariant of an ideal
UR - http://www.scopus.com/inward/record.url?scp=0034993789&partnerID=8YFLogxK
U2 - 10.1007/s002000000047
DO - 10.1007/s002000000047
M3 - Artículo
SN - 0938-1279
VL - 11
SP - 455
EP - 462
JO - Applicable Algebra in Engineering, Communications and Computing
JF - Applicable Algebra in Engineering, Communications and Computing
IS - 6
ER -