The spectrum for LMTS(v, 1) has been obtained by Kang and Lei (Bulletin of the ICA, 1993). In this article, firstly, we give the spectrum for LMTS(v,3). Furthermore, by the existence of LMTS(v, 1) and LMTS(v, 3), the spectrum for LMTS(v, A) is completed, that is Y = 2 (mod A), v 2 A + 2, if A # 0 (m
Further results on large set of disjoint pure Mendelsohn triple systems
β Scribed by Jianguo Lei
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 180 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1063-8539
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## Abstract Large sets of disjoint groupβdivisible designs with block size three and type 2^n^4^1^ were first studied by Schellenberg and Stinson because of their connection with perfect threshold schemes. It is known that such large sets can exist only for __n__ β‘0 (mod 3) and do exist for all odd
An MTS(v) [or DTS(v)] is said to be resolvable, denoted by RMTS(v) [or RDTS(v)], if its block set can be partitioned into parallel classes. An MTS(v) [or DTS(v)] is said to be almost resolvable, denoted by ARMTS(v) [or ARDTS(v)], if its bloak set can be partitioned into almost parallel classes. The