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Zhi-Xiong Chen, Sheng-Qiang Li. Some Notes on Generalized Cyclotomic Sequences of Length pq[J]. Journal of Computer Science and Technology, 2008, 23(5): 843-850.
Citation: Zhi-Xiong Chen, Sheng-Qiang Li. Some Notes on Generalized Cyclotomic Sequences of Length pq[J]. Journal of Computer Science and Technology, 2008, 23(5): 843-850.

Some Notes on Generalized Cyclotomic Sequences of Length pq

  • 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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