On Characteristic Functions of De Bruijn Sequences

TANG Zhenwei; QI Wenfeng; TIAN Tian

doi:10.1049/cje.2016.03.017

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TANG Zhenwei, QI Wenfeng, TIAN Tian. “On Characteristic Functions of De Bruijn Sequences”. Chinese Journal of Electronics, vol. 25 no. 2. doi: 10.1049/cje.2016.03.017

Citation:

TANG Zhenwei, QI Wenfeng, TIAN Tian. “On Characteristic Functions of De Bruijn Sequences”. Chinese Journal of Electronics, vol. 25 no. 2. doi: 10.1049/cje.2016.03.017

TANG Zhenwei, QI Wenfeng, TIAN Tian. “On Characteristic Functions of De Bruijn Sequences”. Chinese Journal of Electronics, vol. 25 no. 2. doi: 10.1049/cje.2016.03.017

Citation:

TANG Zhenwei, QI Wenfeng, TIAN Tian. “On Characteristic Functions of De Bruijn Sequences”. Chinese Journal of Electronics, vol. 25 no. 2. doi: 10.1049/cje.2016.03.017

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On Characteristic Functions of De Bruijn Sequences

doi: 10.1049/cje.2016.03.017

Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450001, China

Funds: This work is supported by the National Natural Science Foundation of China (No.61272042, No.61100202).

Received Date: 2014-03-19
Rev Recd Date: 2014-09-25
Publish Date: 2016-03-10

Abstract

Abstract

In 1982, H. Fredricksen presented the upper and lower bounds of the number of ones in the truth table of characteristic functions of de Bruijn sequences. In this paper, the distribution of ones in the truth table of characteristic functions of de Bruijn sequences is further studied. We provide the upper and lower bounds of the number of ones in the partial truth table of characteristic functions of de Bruijn sequences. Furthermore, the two bounds are tight.
- Nonlinear feedback shift registers,
- De Bruijn sequences,
- Weight of the truth table

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References(13)

References

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