The non-existence of some NMDS codes and the extremal sizes of complete \((n,3)\)-arcs in \(\mathrm{PG}(2,16)\)
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Publication:2249649
DOI10.1007/s10623-013-9837-0zbMath1321.94119arXiv1201.2260OpenAlexW8314386MaRDI QIDQ2249649
Daniele Bartoli, Fernanda Pambianco, Stefano Marcugini
Publication date: 3 July 2014
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.2260
Linear codes (general theory) (94B05) Finite affine and projective planes (geometric aspects) (51E15) Spreads and packing problems in finite geometry (51E23) Blocking sets, ovals, (k)-arcs (51E21)
Related Items (10)
The group action on the finite projective planes of orders 53, 61, 64 ⋮ Complete \((k,3)\)-arcs from quartic curves ⋮ On the Structure of Semiovals of Small Size ⋮ Near MDS codes of non-elliptic-curve type from Reed-Solomon codes ⋮ On the spectrum of sizes of semiovals contained in the Hermitian curve ⋮ New classes of NMDS codes with dimension 3 ⋮ Near-MDS codes from maximal arcs in \(\mathrm{PG}(2,q)\) ⋮ On the minimum size of complete arcs and minimal saturating sets in projective planes ⋮ On the completeness of plane cubic curves over finite fields ⋮ Bounds for Arcs of Arbitrary Degree in Finite Desarguesian Planes
Uses Software
Cites Work
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