Projective toric codes

DOI10.1142/S1793042122500142MaRDI QIDQ5025447

Jade Nardi

Publication date: 2 February 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10357

zbMATH Keywords

toric varietyGröbner basespolytopeerror-correcting codesalgebraic geometric codes

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Linear codes (general theory) (94B05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

Calculating the minimum distance of a toric code via algebraic algorithms

Uses Software

• Code Tables

Cites Work

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