Classifying toric surface codes of dimension 7
DOI10.2140/involve.2021.14.605zbMath1481.14050arXiv2009.09821OpenAlexW3210911968MaRDI QIDQ2238473
Eli Garcia, Stephanie Ford, Emily Cairncross, Kelly Jabbusch
Publication date: 1 November 2021
Published in: Involve (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.09821
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Cites Work
- Notes on classification of toric surface codes of dimension 5
- On toric codes and multivariate Vandermonde matrices
- Toric varieties, Hirzebruch surfaces and error-correcting codes
- Toric codes over finite fields
- On classification of toric surface codes of low dimension
- On classification of toric surface codes of dimension seven
- Toric Surface Codes and Minkowski Length of Polygons
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