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Bibliographic Details
Main Authors: Yuan, Qin, Li, Chunlei, Zeng, Xiangyong
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.01134
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Table of Contents:
  • Nonlinear complexity, as an important measure for assessing the randomness of sequences, is defined as the length of the shortest feedback shift registers that can generate a given sequence. In this paper, the structure of n-periodic binary sequences with nonlinear complexity larger than or equal to 3n/4 is characterized. Based on their structure, an exact enumeration formula for the number of such periodic sequences is determined.