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Families of Finite Sets in which No Intersection of ℓ Sets Is Covered by the Union of s Others

✍ Scribed by A. D'yachkov; P. Vilenkin; D. Torney; A. Macula


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
216 KB
Volume
99
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

✦ Synopsis


In 1964, Kautz and

Singleton (IEEE Trans. Inform. Theory 10 (1964), 363-377)

introduced the superimposed code concept. A binary superimposed code of strength s is identified by the incidence matrix of a family of finite sets in which no set is covered by the union of s others (


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