Covering the unit cube by equal balls.
Joós, Antal (2008)
Beiträge zur Algebra und Geometrie
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Joós, Antal (2008)
Beiträge zur Algebra und Geometrie
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Colloquium Mathematicae
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Colloquium Mathematicae
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We prove the following theorems: There exists an -covering with the property . Under there exists such that is not an -covering or is not an -covering]. Also we characterize the property of being an -covering.
Hao Pan, Zhi-Wei Sun (2007)
Acta Arithmetica
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Laurent Habsieger (1996)
Journal de théorie des nombres de Bordeaux
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Let denote the minimum cardinality of a ternary code of length and covering radius one. In a previous paper, we improved on the lower bound by showing that . In this note, we prove that .