In this paper we show that 17 is the smallest size of a complete cap in the projective space PG(3, 7) and we also show that there are exactly four projectively inequivalent such caps. Along the way it is shown that a linear code [15, 4, 11]7 does not exist.
The smallest size of a complete cap in PG(3,7)
MARCUGINI, Stefano;PAMBIANCO, Fernanda
2006
Abstract
In this paper we show that 17 is the smallest size of a complete cap in the projective space PG(3, 7) and we also show that there are exactly four projectively inequivalent such caps. Along the way it is shown that a linear code [15, 4, 11]7 does not exist.File in questo prodotto:
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