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Generalized self shrinking sequences on GF( q )

HU Yu pu,BAI Guo qiang,XIAO Guo zhen (Research Inst. of Information Security & Privacy, Xidian Univ., Xi′an 710071, China)  
We present a simple key stream algorithm on GF( q ) named the generalized self shrinking generator. B(a), the family of generalized self shrinking sequences, has a group structure. The correlation between the sequences is quite good. The sequences are balanced within a period. No less than (q-1)/q of the sequences from B(a) have their least periodes of q n-1 . No less than (q 2-1)/q 2 of the sequences from B(a) have their periods of no less than q n-2 .
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