  Turyn-type sequences, TT(n), are quadruples of {+,-1}-sequences (A;B;C;D),
with lengths n,n,n,n-1 respectively, where the sum of the nonperiodic
autocorrelation functions of A,B and twice that of C,D is a delta-function
(i.e., vanishes everywhere except at 0). Turyn-type sequences TT(n) are known
to exist for all even n not larger than 36. We introduce a definition of
equivalence to construct a canonical form for TT(n) in general. By using this
canonical form, we enumerate the equivalence classes of TT(n) for n up to and
including 32. We also construct the first example of Turyn-type sequences
TT(38).
