A study of \((xv_t, xv_{t-1})\)-minihypers in \(\mathrm{PG}(t,q)\)

DOI10.1016/J.JCTA.2012.02.009zbMath1276.94026OpenAlexW335242530MaRDI QIDQ423633

Ivan N. Landgev, Peter Vandendriessche

Publication date: 4 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2012.02.009

zbMATH Keywords

linear codesprojective geometryminihypersGriesmer codesrational sums

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Finite affine and projective planes (geometric aspects) (51E15)

Related Items (9)

On the extendability of quasidivisible Griesmer arcs ⋮ Nonexistence of some ternary linear codes with minimum weight \(-2\) modulo 9 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Divisible arcs, divisible codes, and the extension problem for arcs and codes ⋮ Nonexistence of some Griesmer codes over \(\mathbb{F}_q\) ⋮ Unnamed Item ⋮ Linear codes close to the Griesmer bound and the related geometric structures ⋮ On the characterization of \((3 \bmod 5)\) arcs

Cites Work

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• A study of \((x(q + 1), x; 2, q)\)-minihypers
• On the code generated by the incidence matrix of points and hyperplanes in \(\text{PG}(n,q)\) and its dual
• The number of directions determined by a function \(f\) on a finite field
• A geometric approach to classifying Griesmer codes
• Algebraically punctured cyclic codes
• A Bound for Error-Correcting Codes
• On \(q^2+q+2, q+2\)-arcs in the projective plane \(PG(2,q)\)

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