scientific article; zbMATH DE number 7360049

zbMath1474.51003MaRDI QIDQ4993808

Assia Rousseva, Ivan N. Landgev

Publication date: 16 June 2021

Full work available at URL: https://www.fmi.uni-sofia.bg/en/node/6741

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zbMATH Keywords

Griesmer boundblocking setsminihypersdivisible arcsextendable arcsGriesmer arcsGriesmer codesfinite projective geometriesquasi-divisible arcs

Mathematics Subject Classification ID

Bounds on codes (94B65) Linear codes and caps in Galois spaces (51E22) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20)

Related Items (1)

Classification of \((3 \bmod 5)\) arcs in \(\mathrm{PG}(3,5)\)

Cites Work

• Unnamed Item
• Extension theorems for linear codes over finite fields
• An extension theorem for arcs and linear codes
• A study of \((xv_t, xv_{t-1})\)-minihypers in \(\mathrm{PG}(t,q)\)
• Characterization results on weighted minihypers and on linear codes meeting the Griesmer bound
• Codes and projective multisets
• Extendability of linear codes over \(\operatorname {GF}(q)\) with minimum distance \(d\), \(\operatorname {gcd}(d,q)=1\)
• An extension theorem for linear codes
• A new extension theorem for linear codes
• Multiple Blocking Sets and Arcs in Finite Planes
• On the extendability of linear codes

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