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There exists no (15,5,4) RBIBD

✍ Scribed by Petteri Kaski; Patric R. J. Östergård

Book ID
102307454
Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
94 KB
Volume
9
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

An (n, M, d)~q~ code is a q‐ary code of length n, cardinality M, and minimum distance d. We show that there exists no (15,5,4) resolvable balanced incomplete block design (RBIBD) by showing that there exists no (equidistant) (14,15,10)~3~ code. This is accomplished by an exhaustive computer search using an orderly algorithm combined with a maximum clique algorithm. © 2001 John Wiley & Sons, Inc. J Combin Designs 9: 227–232, 2001

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