Let p = Z k t + 1 be a prime where t > 1 is an odd integer, k 2 2. Methods of constructing a Z-cyclic triple whist tournament TWh(p) are given. By such methods we construct a Z-cyclic TWh(p) for d l primes p , p = l(mod 4), 29 5 p 5 16097, except p = 257. Let p , = 2ktt, + 1, q = Zk0oto + 3 be prime
Cyclically resolvable designs and triple whist tournaments
โ Scribed by I. Anderson; N. J. Finizio
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 552 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1063-8539
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โฆ Synopsis
We construct cyclically resolvable (v, 4 , l ) designs and cyclic triple whist tournaments Twh(v)
for all v of the form 3pt'. . .p> + 1, where the pi are primes 3 1 (mod 4), such that each p1 -1 is divisible by the same power of 2.
๐ SIMILAR VOLUMES
Let E denote the group of units (i.e., the reduce set of residues) in the ring Z3p,,n. Here we consider q,p to be primes, q = 3 (mod 4), q 2 7, p = 1 (mod 4). Let W denote a common primitive root of 3, q, and p 2 . If H denotes the (normal) subgroup of E that is generated by {-1, W } , we show that
In this paper, we present new constructions for resolvable and near resolvable (v, 3, 2)-BIBDs. These constructions use balanced tournament designs and odd balanced tournament designs. We then use balanced tournament designs with almost orthogonal resolutions and odd balanced tournament designs with