This volume is a sequel to our 1996 compilation, Computational and
Constructive Design Theory. Again we concentrate on two closely re
lated aspects of the study of combinatorial designs: design
construction and computer-aided study of designs. There are at
least three classes of constructive problems in design theory. The
first type of problem is the construction of a specific design.
This might arise because that one particular case is an exception
to a general rule, the last remaining case of a problem, or the
smallest unknown case. A good example is the proof that there is no
projective plane of parameter 10. In that case the computations
involved were not different in kind from those which have been done
by human brains without electronic assistance; they were merely
longer. Computers have also been useful in the study of
combinatorial spec trum problems: if a class of design has certain
parameters, what is the set of values that the parameters can
realize? In many cases, there is a recursive construction, so that
the existence of a small number of "starter" designs leads to the
construction of infinite classes of designs, and computers have
proven very useful in finding "starter" designs."
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