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Caps in PG(n, q),qeven,n⩾3

✍ Scribed by L. Storme; T. Szönyi

Publisher
Springer
Year
1993
Tongue
English
Weight
235 KB
Volume
45
Category
Article
ISSN
0046-5755

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Small complete caps in PG(N, q), q even
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## Abstract A new family of small complete caps in __PG__(__N__,__q__), __q__ even, is constructed. Apart from small values of either __N__ or __q__, it provides an improvement on the currently known upper bounds on the size of the smallest complete cap in __PG__(__N__,__q__): for __N__ even, the l

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A very difficult problem for complete caps in PG(r,q) is to determine their minimum size. The results on this topic are still scarce and in this paper we survey the best results now known. Furthermore, we construct new interesting sporadic examples of complete caps in PG(3, q) and in PG(4, q) such t

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✍ L. Storme; H. van Maldeghem 📂 Article 📅 1995 🏛 Springer 🌐 English ⚖ 712 KB
New inductive constructions of complete
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✍ Alexander A. Davydov; Massimo Giulietti; Stefano Marcugini; Fernanda Pambianco 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 233 KB

## Abstract Some new families of small complete caps in __PG__(__N, q__), __q__ even, are described. By using inductive arguments, the problem of the construction of small complete caps in projective spaces of arbitrary dimensions is reduced to the same problem in the plane. The caps constructed in