# M. D. S. codes and arcs in projective spaces: a survey

Let C be a code of length k over an alphabet A of size q greather or equal 2. Having chosen m with 2 m  k we impose the following condition on C: no two words agree in as many as m positions. It then follows that |C| qm. If |C|=qm, then C is called a Maximum Distance Separable code (M.D.S. ... Ausführliche Beschreibung

1. Person: Joseph A. Thas verfasserin In Le Matematiche (01.11.1992) Weitere Artikel Online-Artikel EnglishFrenchItalian 1992 Online-Ressource Online Online Online Online Hinzufügen Keine Tags. Fügen Sie den ersten Tag hinzu! Source: Directory of Open Access Journals (DOAJ).
LEADER 001 003 01552nma a2200265 c 4500 DOAJ009470581 DE-601 20190329093919.0 cr uuu---uuuuu 171225s1992 000 0 eng d |a (DE-599)DOAJcccdc94eeb2149c98de37b2bdc12d4e1 |b ger  |c GBVCP 0 |a eng  |a fre  |a ita 0 |a Joseph A. Thas  |e verfasserin  |4 aut 1 0 |a M. D. S. codes and arcs in projective spaces: a survey  |h Elektronische Ressource |a Online-Ressource |a Let C be a code of length k over an alphabet A of size q greather or equal 2. Having chosen m with 2 m  k we impose the following condition on C: no two words agree in as many as m positions. It then follows that |C| qm. If |C|=qm, then C is called a Maximum Distance Separable code (M.D.S. code). A k-arc in PG(n,q) is a set K of k points with k at least n+1 such that no n+1 points lie in a hyperplane. It can be shown that arcs and linear M.D.S. codes are equivalent objects. Here we give a survey of important results on k-arcs, in particular we survey the answers to three fundamental problems on arcs posed by B. Segre in 1955. 0 8 |i In  |t Le Matematiche  |g  (01.11.1992)  |w (DE-601)DOAJ000031240  |x 0373-3505 4 0 |y DOAJ  |u https://doaj.org/article/cccdc94eeb2149c98de37b2bdc12d4e1 4 0 |u http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/593 4 0 |u https://doaj.org/toc/0373-3505 4 0 |u https://doaj.org/toc/2037-5298 |a GBV_DOAJ |a AR |j 1992  |b 01  |c 11

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