Arcs in PG(n,q), MDS-codes and three fundamental problems of B. Segre : some extensions

A. Blokhuis; A.A. Bruen; J.A. Thas

doi:10.1007/BF00147336

Arcs in PG(n,q), MDS-codes and three fundamental problems of B. Segre : some extensions

A. Blokhuis, A.A. Bruen, J.A. Thas

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

23 Citations (Scopus)

Abstract

To each arc of PG(n, q) an algebraic hypersurface is associated. Using this tool new results on complete arcs are obtained. Since arcs and linear MDS-codes are equivalent objects, these results can be translated in terms of codes.

Original language	English
Pages (from-to)	1-11
Journal	Geometriae Dedicata
Volume	35
Issue number	1-3
DOIs	https://doi.org/10.1007/BF00147336
Publication status	Published - 1990

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title = "Arcs in PG(n,q), MDS-codes and three fundamental problems of B. Segre : some extensions",

abstract = "To each arc of PG(n, q) an algebraic hypersurface is associated. Using this tool new results on complete arcs are obtained. Since arcs and linear MDS-codes are equivalent objects, these results can be translated in terms of codes.",

author = "A. Blokhuis and A.A. Bruen and J.A. Thas",

year = "1990",

doi = "10.1007/BF00147336",

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AU - Blokhuis, A.

AU - Bruen, A.A.

AU - Thas, J.A.

PY - 1990

Y1 - 1990

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AB - To each arc of PG(n, q) an algebraic hypersurface is associated. Using this tool new results on complete arcs are obtained. Since arcs and linear MDS-codes are equivalent objects, these results can be translated in terms of codes.

U2 - 10.1007/BF00147336

DO - 10.1007/BF00147336

M3 - Article

SN - 0046-5755

VL - 35

SP - 1

EP - 11

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1-3

ER -

Arcs in PG(n,q), MDS-codes and three fundamental problems of B. Segre : some extensions

Abstract

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