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On the existence of super-simple designs with block size 4

✍ Scribed by Peter Adams; Darryn E. Bryant; A. Khodkar

Publisher: Springer
Year: 1996
Tongue: English
Weight: 743 KB
Volume: 51
Category: Article
ISSN: 0001-9054
DOI: 10.1007/bf01833280

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📜 SIMILAR VOLUMES

On the existence of super-simple designs

On the existence of super-simple designs with block size 4

✍ Peter Adams; Darryn E. Bryant; A. Khodkar 📂 Article 📅 1995 🏛 Springer 🌐 English ⚖ 43 KB

Super-simple resolvable balanced incompl

Super-simple resolvable balanced incomplete block designs with block size 4 and index 3

✍ Gennian Ge; C. W. H. Lam 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB

## 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.

Super-simple resolvable balanced incompl

Super-simple resolvable balanced incomplete block designs with block size 4 and index 2

✍ Xiande Zhang; Gennian Ge 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB

## 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

On the existence of incomplete transvers

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✍ B. Du 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 611 KB

We consider sets of incomplete transversal designs with block size five TD [S; u] -TD [S; n]. We show that designs exist if and only if u 2 4n, with the possible exception of 108 values of (v, n) for which existence is undecided.

On c-Bhaskar Rao designs with block size

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✍ Malcolm Greig; Spencer P. Hurd; Judson S. McCranie; Dinesh G. Sarvate 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB 👁 1 views

## Abstract Several new families of __c__‐Bhaskar Rao designs with block size 4 are constructed. The necessary conditions for the existence of a __c__‐BRD (υ,4,λ) are that: (1)λ~min~=−λ/3 ≤ __c__ ≤ λ and (2a) __c__≡λ (mod 2), if υ > 4 or (2b) __c__≡ λ (mod 4), if υ = 4 or (2c) __c__≠ λ − 2, if υ =

On the existence of super-simple (v,4,4)

On the existence of super-simple (v,4,4)-BIBDs

✍ Chen Kejun 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 503 KB