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Linear Complexity of Generalized Cyclotomic Binary Sequences with Period 2pm+1qn+1
Dandan LI Qiaoyan WEN Jie ZHANG Liying JIANG
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2015/06/01
Online ISSN: 1745-1337
Type of Manuscript: PAPER
Category: Cryptography and Information Security
generalized cyclotomic sequences, finite field, good balance property, linear complexity,
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The linear complexity of binary sequences plays a fundamental part in cryptography. In the paper, we construct more general forms of generalized cyclotomic binary sequences with period 2pm+1qn+1. Furthermore, we establish the formula of the linear complexity of proposed sequences. The results reveal that such sequences with period 2pm+1qn+1 have a good balance property and high linear complexity.