Some Notes on Generalized Cyclotomic Sequences of Length pq
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Abstract
We review the constructions of two main kinds of generalized cyclotomicbinary sequences with length \it pq (the product with two distinctprimes). One is the White-generalized cyclotomic sequences, the other is theDing-Helleseth(DH, for short)-generalized cyclotomic sequences. Wepresent some new pseudo-random properties of DH-generalizedcyclotomic sequences using the theory of character sums instead ofthe theory of cyclotomy, which is a conventional method forinvestigating generalized cyclotomic sequences.
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