This paper is mainly to structure the new model of four generalized self-shrinking sequences on GF(3) and proved such generalized self-shrinking sequences of the smallest cycle has always reached the maximum 2×3n-1; 0-pattern,1-pattern,2-pattern are balanced, research shows: as the expanded of the fourth class of generalized self-shrinking sequences on GF(2),the new self-sequences on GF(3) keep good consequences of pseudo-randomness and compare with other self-shrinking sequences have better cryptography properties. |