Linear codes associated to the ideal of points in PdAnd its canonical module

DOI10.1080/00927879608825624zbMath0852.94026OpenAlexW2073156522MaRDI QIDQ4874761

Horacio Tapia-Recillas, Carlos Rentería Márquez

Publication date: 2 December 1996

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879608825624

zbMATH Keywords

linear codeHilbert functionzero-dimensional schemedual codesVeronese map

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

Minimum distance of some evaluation codes ⋮ Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields ⋮ The minimum distance of parameterized codes on projective tori ⋮ Affine Cartesian codes ⋮ Reed‐muller codes: an ideal theory approach

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• The uniform position principle for curves in characteristic p
• The genus of space curves
• Generalized Reed - Solomon codes from algebraic geometry
• Construction and decoding of a class of algebraic geometry codes