Direct products in projective Segre codes

DOI10.1016/j.ffa.2016.01.006zbMath1391.13059arXiv1501.01692OpenAlexW2963497521MaRDI QIDQ268479

Maria Vaz Pinto, Rafael H. Villarreal, Azucena Tochimani

Publication date: 15 April 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01692

zbMATH Keywords

finite fieldSegre embeddingHilbert functiontensor productReed-Muller codeminimum distancedirect productSegre code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Projective techniques in algebraic geometry (14N05) Applications to coding theory and cryptography of arithmetic geometry (14G50) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Other algebras built from modules (15A78)

Related Items (2)

Affine Cartesian codes with complementary duals ⋮ Projective Reed-Muller type codes on higher dimensional scrolls

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