  We have extended the Paley constructions for Hadamard matrices and obtained
some series of Hadamard matrices. Especially Paley construction-II is
applicable for odd prime power q is congruent to 1(mod 4) however our method is
applicable for any odd prime power. Some of which are non-isomorphic to the
matrices obtained by standard Paley constructions, Sylvester construction,
Williamson construction or combination of either of these constructions with
Sylvester construction. In fact we have used the conference matrix of order
prime power q in some different manner which is applicable for any odd prime
power q or product of twin primes.
