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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Karol Borsuk, Rimas Vaina (1979)
Colloquium Mathematicae
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Rastislav Telgársky (1976)
Colloquium Mathematicae
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Joos, A. (2009)
Beiträge zur Algebra und Geometrie
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G. J. Michaelides (1981)
Colloquium Mathematicae
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Dumitrescu, Adrian, Jiang, Minghui (2010)
Beiträge zur Algebra und Geometrie
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Grigorian, S.A., Gumerov, R.N. (2002)
Lobachevskii Journal of Mathematics
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Tekcan, A., Bayraktar, M., Bizim, O. (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Andrzej Nowik (2000)
Czechoslovak Mathematical Journal
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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 .