Harder-Narasimhan theory for linear codes (with an appendix on Riemann-Roch theory)
DOI10.1016/j.jpaa.2018.10.006zbMath1409.14047arXiv1609.00738OpenAlexW2896715421WikidataQ129105041 ScholiaQ129105041MaRDI QIDQ1730858
Publication date: 6 March 2019
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00738
algebraic-geometric codesGalois connectionlinear codesmatroidssemistabilityRiemann-Roch theoremslopescanonical filtrationsphere-packingcombinatorial latticesEuclidean and Hermitian latticesHarder-Narasimhan theory
Linear codes (general theory) (94B05) Geometric invariant theory (14L24) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of matroids and geometric lattices (05B35) Semimodular lattices, geometric lattices (06C10) Vector bundles on curves and their moduli (14H60) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Applications to coding theory and cryptography of arithmetic geometry (14G50) Modular lattices, Desarguesian lattices (06C05) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75) Relations with coding theory (11H71)
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