Near-Steiner triple systems of order 12 [NSTS(12)]

There are 5 pairwise nonisomorphic systems. Notation used in files is the following.
NSTS(12)'s come from 2 STS(13)'s. Points are numbered according to systems listed in CRC Handbook of Combinatorial Designs, p. 7. Every NSTS(12) has a double labeling; its System No. denotes a relevant number on the list of STS(13)'s; consecutive NSTS(12)'s are obtained by removal of one point, when point i is removed, the system is denoted Subsystem No. i. To get a correct numbering of points (i.e. 0,1,...,11) the point with number 12 in STS(13) gets number i.
For every NSTS(12), a set B of 28 triples as well as a corresponding 1-factor I are given. All antimorphisms together with corresponding block sets B_1's are listed; antimorphisms are marked with capital letters:
A - unfair antimorphism which is not halving
B - fair antimorphism which is not halving
C - antimorphism which is halving (but not fairly)
D - antimorphism which is fairly halving (but not strongly)
E - antimorphism which is strongly halving.


Downloadable files:
ntst12.zip [2K]
ntst12.txt [10K]