A new infinite class of S(3, {4, 5, 7}, v) |
| |
| Authors: | Lijun Ji Shaopu Zhang |
| |
| Affiliation: | 1. Department of Mathematics, Soochow University, Suzhou 215006, P. R. China;2. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China |
| |
| Abstract: | A t‐wise balanced design ( at BD) of order v and block sizes from K , denoted by S ( t , K , v ), is a pair ( X , ??), where X is a v ‐element set and ?? is a set of subsets of X , called blocks , with the property that | B |∈ K for any B ∈?? and every t ‐element subset of X is contained in a unique block. In this article, we shall show that there is an S ( 3 , { 4 , 5 , 7 }, v ) for any positive integer v ≡ 7 ( mod12 ) with v ≠ 19 . Copyright © 2011 Wiley Periodicals, Inc. J Combin Designs 20:68–80, 2012 |
| |
| Keywords: | t‐wise balanced design s‐fan design candelabra t‐system |
|
|
