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Two constructions of (v, (v − 1)/2, (v − 3)/2) difference families

✍ Scribed by Cunsheng Ding


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
103 KB
Volume
16
Category
Article
ISSN
1063-8539

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✦ Synopsis


Abstract

In this article, two constructions of (v, (v − 1)/2, (v − 3)/2) difference families are presented. The first construction produces both cyclic and noncyclic difference families, while the second one gives only cyclic difference families. The parameters of the second construction are new. The difference families presented in this article can be used to construct Hadamard matrices. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 164–171, 2008


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The infrared spectrum in the range 400 -1600 cm Ϫ1 of isotopically pure H 3 Si 37 Cl has been recorded at high resolution (2.4 -6.6 ϫ 10 Ϫ3 cm Ϫ1 ) and analyzed. Fifteen bands have been studied, namely the four fundamentals 3 (543.968 cm Ϫ1 ), 6 (663.738 cm Ϫ1 ), 2 (947.982 cm Ϫ1 ), and 5 (950.657 c