The minimum weight codewords in the Preparata code of length n = 4" are utilized for the construction of an infinite family of Steiner S(4, {5,6}, 4"l + 1) designs for any rn 2 2. 0 1996 John Wiley & Sons, Inc. A t-wise balanced design with parameters t -(w, Ic, A) is a pair (X, 0) where X is a set
A class of pbib-designs obtained from projective geometries
β Scribed by Marilena Barnabei; Andrea Brini
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 437 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, a new class of partially balanced incomple'e block designs is constructed over an association scheme obtained from a finite projective gecmetry. Further, a general mrbt;s&3 for deriving a balanced incomplete block design from another one is given.
[Z] RC Bose and T, Shimatnoto, ClasM@atian and analysis of partially balanced incomplete block dssi@rns with two associate C!RMM, J, Amer, Statist. ~ssac. 41 (1952) M-184.
π SIMILAR VOLUMES
First we define relations between the u = (s\* + s + 1) (s + 1) flags (point-line incident pairs) of a finite projective plane of order s. Two flags a E (p, 1) and b = (p', l'), where p and p' are two points and 1 and 1' are two lines of the projective plane, are defined to