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arxiv: 1712.03947 · v1 · pith:IMU6XIQDnew · submitted 2017-12-11 · 🧮 math.NT · cs.CR

The linear complexity of new binary cyclotomic sequences of period p^n

classification 🧮 math.NT cs.CR
keywords complexitylinearsequencesbinarycyclotomicperiodclasscodes
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In this paper, we determine the linear complexity of a class of new binary cyclotomic sequences of period pn constructed by Z. Xiao et al. (Des. Codes Cryptogr. DOI 10.1007/s10623-017-0408-7) and prove their conjecture about high linear complexity of these sequences.

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