Complete \(k\)-arcs in PG(\(n,q\)), \(q\) even
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Publication:1199637
DOI10.1016/0012-365X(92)90576-2zbMath0759.51008MaRDI QIDQ1199637
Publication date: 16 January 1993
Published in: Discrete Mathematics (Search for Journal in Brave)
Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22) Blocking sets, ovals, (k)-arcs (51E21)
Related Items (6)
Complete arcs ⋮ The main conjecture for MDS codes ⋮ A construction for infinite families of semisymmetric graphs revealing their full automorphism group ⋮ The geometric description of a cyclic \((q- \sqrt{q}+1)\)-arc in \(\text{PG} (q-\sqrt{q}-3,q)\), \(q\) square ⋮ On the smallest size of an almost complete subset of a conic in \(\mathrm{PG}(2, q)\) and extendability of Reed-Solomon codes ⋮ The packing problem in statistics, coding theory and finite projective spaces
Cites Work
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- On the uniqueness of \((q+1)_ 4\)-arcs of \(PG(4,q),q=2^ h,h\vee\)
- Arcs in projective planes over prime fields
- Arcs in PG(n,q), MDS-codes and three fundamental problems of B. Segre - some extensions
- Complete arcs and algebraic curves in \(\text{PG}(2,q)\)
- On M.D.S. codes, arcs in PG(n,q) with q even, and a solution of three fundamental problems of B. Segre
- The solution to Beniamino Segre's problem \(I_ p,\),p=3, q=\(2^ k\).
- M.D.S. codes and arcs in \(\mathrm{PG}(n,q)\) with \(q\) even: an improvement of the bounds of Bruen, Thas, and Blokhuis
- \(k\)-arcs and dual \(k\)-arcs
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