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New constructions of superimposed codes

✍ Scribed by D'yachkov, A.G.; Macula, A.J., Jr.; Rykov, V.V.

Book ID
114541516
Publisher
IEEE
Year
2000
Tongue
English
Weight
461 KB
Volume
46
Category
Article
ISSN
0018-9448

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This paper will focus on the construction of superimposed codes using incidence matrices. Such constructions require a set of elements and a partial order defined on the set. We will define a partial order on partitions. The construction will be made using elements from the partially ordered set of

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## Abstract A (__w__,__r__) __cover‐free family__ is a family of subsets of a finite set such that no intersection of __w__ members of the family is covered by a union of __r__ others. A (__w__,__r__) __superimposed code__ is the incidence matrix of such a family. Such a family also arises in crypt