Complete caps and saturating sets in projective Galois spaces are the ge- ometrical counterpart of linear codes with covering radius 2. The smaller the cap/saturating set, the better the covering properties of the code. In this paper we survey the state of the art of the research on these geometrical objects, with particular emphasis on the recent developments and on the connections with algebraic curves over finite fields
The geometry of covering codes: small complete caps and saturating sets in Galois spaces
GIULIETTI, Massimo
2013
Abstract
Complete caps and saturating sets in projective Galois spaces are the ge- ometrical counterpart of linear codes with covering radius 2. The smaller the cap/saturating set, the better the covering properties of the code. In this paper we survey the state of the art of the research on these geometrical objects, with particular emphasis on the recent developments and on the connections with algebraic curves over finite fieldsFile in questo prodotto:
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