M.D.S. codes and arcs in \(\mathrm{PG}(n,q)\) with \(q\) even: an improvement of the bounds of Bruen, Thas, and Blokhuis

DOI10.1016/0097-3165(93)90076-KzbMath0771.51006MaRDI QIDQ1208044

Joseph A. Thas, Storme, L.

Publication date: 16 May 1993

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

MDS codesembeddability\(k\)-arcsnormal rational curve

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22)

Related Items (8)

On the dual codes of skew constacyclic codes ⋮ Bounds on the number of rational points of algebraic hypersurfaces over finite fields, with applications to projective Reed-Muller codes ⋮ Complete arcs ⋮ The main conjecture for MDS codes ⋮ Complete \(k\)-arcs in PG(\(n,q\)), \(q\) even ⋮ Open problems in finite projective spaces ⋮ The packing problem in statistics, coding theory and finite projective spaces ⋮ On the covering radius of Reed-Solomon codes

Cites Work

• Curve razionali normali e \(k\)-archi negli spazi finiti
• Arcs in projective planes over prime fields
• Arcs in PG(n,q), MDS-codes and three fundamental problems of B. Segre - some extensions
• On M.D.S. codes, arcs in PG(n,q) with q even, and a solution of three fundamental problems of B. Segre
• On MDS extensions of generalized Reed- Solomon codes
• An elementary proof and an extension of Thas' theorem on k-arcs
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