Published January 1, 2014
| Version v1
Journal article
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Small Complete Caps from Singular Cubics
- 1. Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey
- 2. Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
- 3. Univ Trento, Dipartimento Matemat, I-38123 Povo, TN, Italy
Description
New families of complete caps in finite Galois spaces are obtained. For most pairs (N, p(h)) with h > 8 and N equivalent to 0 (mod 4), they turn out to be the smallest known complete caps in AG(N, p(h)). Our constructions rely on the bicovering properties of certain plane arcs contained in plane cubic curves with a cusp. (C) 2013 Wiley Periodicals, Inc.
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