Solving isomorphism problems about 2-designs from disjoint difference families
نویسندگان
چکیده
منابع مشابه
New 2-designs from strong difference families
Strong difference families are an interesting class of discrete structures which can be used to derive relative difference families. Relative difference families are closely related to 2-designs, and have applications in constructions for many significant codes, such as optical orthogonal codes and optical orthogonal signature pattern codes. In this paper, with a careful use of cyclotomic condi...
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Hefftner, White, Alpert, and others observed a connection between topology and certain block designs with parameters k = 3 and ,I= 2. In this paper the connection is extended to include all values of I.. The topology is also exploited further to produce some new invariants of designs. The topology also gives an upper bound for the order of the automorphism group of the designs studied which lea...
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Difference sets and their generalisations to difference families arise from the study of designs and many other applications. Here we give a brief survey of some of these applications, noting in particular the diverse definitions of difference families and the variations in priorities in constructions. We propose a definition of disjoint difference families that encompasses these variations and...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Designs
سال: 2019
ISSN: 1063-8539
DOI: 10.1002/jcd.21648