Projective Reed-Muller type codes on rational normal scrolls

DOI10.1016/j.ffa.2015.09.004zbMath1402.94124OpenAlexW1759061387MaRDI QIDQ897326

Victor G. L. Neumann, Cícero Fernandes de Carvalho

Publication date: 17 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.09.004

zbMATH Keywords

Gröbner basesevaluation codesReed-Muller type codesprojective variety codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other types of codes (94B60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (6)

Projective nested Cartesian codes ⋮ Affine Cartesian codes with complementary duals ⋮ Algebraic geometric codes on minimal Hirzebruch surfaces ⋮ Projective Reed-Muller type codes on higher dimensional scrolls ⋮ Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes ⋮ Projective toric codes

Cites Work

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• Weierstrass gap sequences and moduli varieties of trigonal curves
• Reed-Muller-type codes over the Segre variety
• Evaluation codes from smooth quadric surfaces and twisted Segre varieties
• Projective Reed-Muller codes
• Reed-Muller codes on complete intersections.

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