Bicovering arcs and small complete caps from elliptic curves
From MaRDI portal
Publication:364712
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the completeness of certain plane arcs. II
- Small complete caps in Galois affine spaces
- Nonsingular plane cubic curves over finite fields
- Proprieta elementari relative ai segmenti ed alle coniche sopra un campo qualsiasi ed una congettura di Seppo Ilkka per il caso dei campi di Galois
- Large caps
- On plane arcs contained in cubic curves
- On the extendibility of near-MDS elliptic codes
- Small complete caps in spaces of even characteristic
- Small complete caps from singular cubics. II
- Algebraic Function Fields and Codes
- Quasi-Perfect Linear Codes With Minimum Distance $4$
- New inductive constructions of complete caps inPG(N, q),qeven
- A note on elliptic curves over finite fields
- Small complete caps in PG(N, q), q even
- Abelian varieties over finite fields
This page was built for publication: Bicovering arcs and small complete caps from elliptic curves
