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In this paper, two generic constructions of optimal frequency-hopping sequence (FHS) sets employing d-form functions with difference-balanced property are presented. They generalize the previous constructions of optimal FHS sets using m-sequences and produce new optimal FHS sets that cannot be produced by the earlier constructions. By choosing appropriate d-form functions with difference-balanced...
A fast algorithm is derived for determining the linear complexity and the minimal polynomial of sequences over GF(q) with period qnpm, where p is a prime number, q is a prime number and a primitive root modulo p2 . The new algorithm generalizes both the algorithm to compute the linear complexity of sequences over GF(q) with period pm, where p is a prime, q is a prime and a primitive root modulo p2...
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