Near-Steiner triple systems of order 14 [NSTS(14)]

There are 787 pairwise nonisomorphic systems. Notation used in files is the following.
NSTS(14)'s come from 80 STS(15)'s. Points are numbered according to systems listed in CRC Handbook of Combinatorial Designs, p. 7-10. Every NSTS(14) has a double labeling; its System No. denotes a number on the list of STS(15)'s; consecutive NSTS(14)'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,...,13) the point with number 14 in STS(15) gets number i.
For every NSTS(14), a set B of 28 triples as well as a corresponding 1-factor I are listed. The total numbers of antimorphisms of various types (all, fair, halving, fairly halving and strongly halving) are given. Moreover, one example for every kind of antimorphisms, if exists, together with a corresponding block set B_1 are listed. They 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:
ntst14.zip [53K]
ntst14.txt [547K]