Resolvable semi-balanced incomplete split-block designs
✍ Scribed by Shinji Kuriki; Iwona Mejza; Masakazu Jimbo; Stanisław Mejza; Kazuhiro Ozawa
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 283 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0026-1335
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📜 SIMILAR VOLUMES
New constructions for SBIBDs with parameters (v, k, A) = (45, 12, 3), (36, 15, 6), and (40, 13, 4) are given in this note. (~) 2000 Elsevier Science Ltd. All rights reserved.
## 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