Bicovering arcs and small complete caps from elliptic curves

DOI10.1007/s10801-012-0407-8zbMath1295.51014OpenAlexW2008816262MaRDI QIDQ364712

Massimo Giulietti, Nurdagül Anbar

Publication date: 9 September 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-012-0407-8

zbMATH Keywords

elliptic curvesbicovering arcscomplete capsGalois affine spacesquasi-perfect codes

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22) Elliptic curves (14H52)

Related Items (12)

Complete \((k,3)\)-arcs from quartic curves ⋮ Finding elliptic curves with a subgroup of prescribed size ⋮ Small Complete Caps from Singular Cubics ⋮ Planar arcs ⋮ Complete \((k,4)\)-arcs from quintic curves ⋮ On complete \(m\)-arcs ⋮ Algebraic constructions of complete \(m\)-arcs ⋮ Small complete caps in three-dimensional Galois spaces ⋮ Small complete caps from singular cubics. II ⋮ Maximum scattered linear sets and complete caps in Galois spaces ⋮ Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture ⋮ Complete caps in AG(3, q) from elliptic curves

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