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Fast algorithms for determining the linear complexity of sequences over GF(pm) with period 2tn

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1 Author(s)
Hao Chen ; Dept. of Comput. & Inf. Technol., Fudan Univ., Shanghai

We prove a result which reduces the computation of the linear complexity of a sequence over GF(pm) (p is an odd prime) with period 2n (n is a positive integer such that there exists an element bisinGF(pm), bn=-1) to the computation of the linear complexities of two sequences with period n. By combining with some known algorithms such as the Berlekamp-Massey algorithm and the Games-Chan algorithm we can determine the linear complexity of any sequence over GF(pm) with period 2tn (such that 2 t|pm-1 and gcd(n,pm-1)=1) more efficiently

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Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 5 )