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J3 3a*7A generalized B a r k e r sequence is a finite sequence { a ] of r complex numbers having absolute value 1, and possessing a correlation function C(T) satisfying the constraint I C ( 7 ) 15 1,T d 0. C l a s s e s of transformations leaving I C(T ) 1 invariant a r e exhibited. Constructions for generalized B a r k e r sequences of various lengths and alphabet s i z e s a r e given. Sextic Barker sequences a r e investigated and examples given for all lengths through thirteen.limit to the length of sextic sequences has been found. N o theoretical..