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| Stability of Joint 2-adic Complexity of Multi-periodic Sequence |
| Zhao Lu Wen Qiao-yan |
| State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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Abstract In this paper, the definition of joint k-error 2-adic complexity is first proposed, as well as joint k-error 2-adic complexity is used to measure the stability of 2-adic complexity of periodic multisequences. Then some enumeration results are derived for two kinds of joint error 2-adic complexity and the lower bounds are presented for their expected values of m-fold multisequences of period N, which 2N-1=p,p1p2, respectively. Furthermore, it is showed that the formula 2N-1=pe(e>1), has no solution. The results are important for studying the stability of joint 2-adic complexity of multisequences.
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Received: 15 March 2010
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Corresponding Authors:
Zhao Lu
E-mail: zhaolu.nan@gmail.com
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2011, Vol. 33 
