On the Linear Complexity of Binary Generalized Cyclotomic Sequences of Period 2pm+1qn+1

Minghui YANG; Dongdai LIN; Qiuyan WANG; Jian GAO

doi:10.1587/transfun.E102.A.676

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

On the Linear Complexity of Binary Generalized Cyclotomic Sequences of Period 2p^m+1qⁿ⁺¹

Minghui YANG, Dongdai LIN, Qiuyan WANG, Jian GAO

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Keywords: linear complexity, binary generalized cyclotomic sequences, balanced

JOURNAL RESTRICTED ACCESS

2019 Volume E102.A Issue 4 Pages 676-679

DOI https://doi.org/10.1587/transfun.E102.A.676

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Abstract

In this paper, new classes of binary generalized cyclotomic sequences of period 2p^m+1qⁿ⁺¹ are constructed. These sequences are balanced. We calculate the linear complexity of the constructed sequences with a simple method. The results show that the linear complexity of such sequences attains the maximum.

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