Klapper [1] showed that there are binary sequences of period q − 1(q is a prime power p, p is an odd prime) with the maximal possible linear complexity q−1 when considered as sequences over GF (2), while the sequences have very low linear complexities when considered as sequences over GF (p). This suggests that the binary sequences with high GF (2) linear complexities and low GF (p) linear comp...
