Complete caps in AG(3, q) from elliptic curves

DOI10.1142/S0219498814500509zbMath1297.51002MaRDI QIDQ2878785

Irene Platoni

Publication date: 5 September 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

complete capquasi-perfect codeGalois space

Mathematics Subject Classification ID

Linear codes and caps in Galois spaces (51E22) Elliptic curves (14H52) Combinatorial structures in finite projective spaces (51E20)

Related Items (2)

Upper bounds on the smallest size of a complete cap in \(\mathrm{PG}(3, q)\) and \(\mathrm{PG}(4, q)\) ⋮ Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture

Cites Work

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• On plane arcs contained in cubic curves
• Computer search for small complete caps
• On the extendibility of near-MDS elliptic codes
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• On the completeness of certain \(n\)-tracks arising from elliptic curves
• A class of complete \(k\)-caps in \(PG(3,q)\) for \(q\) an odd prime
• The geometry of covering codes: small complete caps and saturating sets in Galois spaces
• Quasi-Perfect Linear Codes With Minimum Distance $4$
• A note on elliptic curves over finite fields
• Small complete caps in PG(N, q), q even

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