Some Enumeration Results on Binary 2n-Periodic Sequences.

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Bibliographic Details
Title: Some Enumeration Results on Binary 2n-Periodic Sequences.
Authors: Chang, Zuling1,2, Ke, Pinhui2, Zhao, Yongcheng1
Source: International Journal of Foundations of Computer Science. Feb2017, Vol. 28 Issue 2, p171-184. 14p.
Subjects: Binary sequences, Critical point theory, Algorithms, Linear systems, Computational complexity
Abstract: This paper studies some enumeration problems of binary sequences with period 2 n based on the Games-Chan algorithm and a modified Stamp-Martin algorithm. We provide the exact number of critical error sequences of binary 2 n-periodic sequences corresponding to the second critical point. The exact formula for the number of binary 2 n-periodic sequences with exactly three critical points is also derived. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This paper studies some enumeration problems of binary sequences with period 2 n based on the Games-Chan algorithm and a modified Stamp-Martin algorithm. We provide the exact number of critical error sequences of binary 2 n-periodic sequences corresponding to the second critical point. The exact formula for the number of binary 2 n-periodic sequences with exactly three critical points is also derived. [ABSTRACT FROM AUTHOR]
ISSN:01290541
DOI:10.1142/S0129054117500113