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Irreducible designs from supplementary difference sets
| Content Provider | Scilit |
|---|---|
| Author | Breach, D. R. |
| Copyright Year | 1985 |
| Description | A family of n k-subsets of the integers modulo ν are said to be supplementary difference sets if developing them by addition modulo ν leads to a balanced incomplete block design, and to be minimal if no proper subfamily leads to a balanced incomplete block design when developed modulo ν. In other words, the family of supplementary difference sets is minimal precisely when it leads to a balanced incomplete block design which cannot be partitioned into a union of proper subdesigns, each consisting of complete cyclic sets of ν blocks. We discuss the conditions under which such a balanced incomplete block design can be partitioned in some non-cyclic fashion into a union of proper subdesigns. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B541FD6F2C8D49757658DEB28720B9CF/S0004972700002318a.pdf/div-class-title-irreducible-designs-from-supplementary-difference-sets-div.pdf |
| Ending Page | 115 |
| Page Count | 11 |
| Starting Page | 105 |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972700002318 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 1 |
| Volume Number | 31 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1985-02-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society Modulo Ν Supplementary Difference Sets |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
