## Abstract The necessary conditions for the existence of a balanced incomplete block design on υ ≥ __k__ points, with index λ and block size __k__, are that: For __k__ = 8, these conditions are known to be sufficient when λ = 1, with 38 possible exceptions, the largest of which is υ = 3,753. For
Splitting balanced incomplete block designs with block size 3 × 2
✍ Scribed by Beiliang Du
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 149 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
Abstract
Splitting balanced incomplete block designs were first formulated by Ogata, Kurosawa, Stinson, and Saido recently in the investigation of authentication codes. This article investigates the existence of splitting balanced incomplete block designs, i.e., (v, 3__k__, λ)‐splitting BIBDs; we give the spectrum of (v, 3 × 2, λ)‐splitting BIBDs. As an application, we obtain an infinite class of 2‐splitting A‐codes. © 2004 Wiley Periodicals, Inc.
📜 SIMILAR VOLUMES
## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with __k__ = 4 and λ = 3, are that __v__ ≥ 8 and __v__ ≡ 0 mod 4. These conditions are shown to be sufficient except for __v__ = 12. © 2003 Wiley Periodicals, Inc.
## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with block size __k__ = 4 and index λ = 2, are that __v__ ≥ 16 and $v \equiv 4\; (\bmod\; {12})$. These conditions are shown to be sufficient. © 2006 Wiley Periodical
## Abstract The object of this paper is the construction of incomplete group divisible designs (IGDDs) with block size four, group‐type (__g, h__)^__u__^ and index unity. It is shown that the necessary conditions for the existence of such an IGDD are also sufficient with three exceptions and six po
A number of methods of construction of partially balanced inconiplete block designs with nested rows and columns are developed and new balanced incomp1et.e block designs with nested rows and columns are obtained as a by-product.