๐”– Bobbio Scriptorium
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Linear Perfect Codes and a Characterization of the Classical Designs

โœ Scribed by Vladimir D. Tonchev


Book ID
110261870
Publisher
Springer
Year
1999
Tongue
English
Weight
48 KB
Volume
17
Category
Article
ISSN
0925-1022

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An extension theorem for t-designs is proved. As an application, a class of 4-(4" + 1,5,2) designs is constructed by extending designs related to the 3-designs formed by the minimum weight vectors in the Preparata code of length n = 4", m 2 2. 0 1994 John Wiley & Sons, Inc. ## 1 . INTRODUCTION We

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## Stinson and van Rees (Combinatorica (1984), 357-362) proved that the existence of an equidistant code E: (n = 4s + 1,d = 2s, N) with N = n implies the existence of a certain symmetrical BIB design. This result is extended here for the constant weight codes with the same n and d. A theorem on t