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
โฆ LIBER โฆ
Linear Perfect Codes and a Characterization of the Classical Designs
โ 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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## 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