A concept of locally optimal (LO) linear covering codes is introduced in accordance with the concept of minimal saturating sets in projective spaces in finite fields. Costructions and infinite families of LO codes are described. The complete computer classification of the minimal saturating sets and of the corresponding LO codes is obtained.
Locally optimal covering codes and minimal saturating sets
FAINA, Giorgio;MARCUGINI, Stefano;PAMBIANCO, Fernanda
2005
Abstract
A concept of locally optimal (LO) linear covering codes is introduced in accordance with the concept of minimal saturating sets in projective spaces in finite fields. Costructions and infinite families of LO codes are described. The complete computer classification of the minimal saturating sets and of the corresponding LO codes is obtained.File in questo prodotto:
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